NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.3

One of the most significant subjects taught in Class 8 is Mathematics. It is one of the disciplines that is beneficial even after school. Mathematics is used for more than just academic purposes. It contributes to laying the foundation for several domains. Many professions necessitate a strong understanding of Mathematics, including Flying, Financial Planning, Statistics, Engineering, and Market Research. It is necessary to have a basic understanding of Mathematics not only to enhance career opportunities but also to do general tasks such as managing funds. Mathematics is a discipline that practically everyone finds beneficial in their daily lives. Students should have a basic understanding of mathematical principles. Having a thorough knowledge of mathematical principles is vital for competitive examinations such as the CAT, AFCAT, AIIMS, CUET, NEET, and others since they help build logical reasoning abilities.

Students are encouraged to review the Class 8 Maths Exercise 9.3 problems and solutions available on the Extramarks website. Students may access the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 from the Extramarks website. It is recommended that students continuously practise the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 in order to gain confidence for the senior secondary test. Students must recognise the significance of getting exceptional marks in the Senior Secondary Class 8 Examination.

The CBSE board examination is in charge of conducting annual board examinations. The NCERT curriculum serves as a primary source of reference for it. The NCERT curriculum is designed with the CBSE board examinations in mind, so students should extensively study the NCERT exercise solutions available on the Extramarks website. For a better comprehension of the concepts discussed in Algebraic Expressions and Identities, students may also refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3. It is advised that students practise Class 8 Maths Exercise 9.3 Solution in order to do well in the Senior Secondary Examination of Class 8.

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities (EX 9.3) Exercise 9.3

To comprehend Class 8 Mathematics in detail, students must make a concerted effort to master the mathematical concepts. This is critical for students’ Senior Secondary Mathematics Examinations results. Extramarks provides students with the option of downloading needed study material in PDF format. Extramarks has offered this feature to make it simpler and more convenient for students to get the study resources they require. Students may also obtain the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 in PDF format from the Extramarks website. Students should practise NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.3 to improve their understanding of fundamental mathematical principles

Algebraic Expressions and Identities is one of the most important topics studied in the Class 8 Mathematics syllabus. Algebraic Expressions and Identities are essential components of mathematical language. This topic is also important in polynomials. One of the most difficult and important exercises in the NCERT Mathematics Chapter 9 Algebraic Expressions and Identities is Class 8 Maths Chapter 9 Exercise 9.3.It has a high topic weightage in the Senior Secondary Examination of Class 8. Students should focus on their knowledge of basic mathematical principles by practising the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3.

Mathematics can be a challenging subject to understand; it takes consistent practise on the part of students to have a better grasp of the subject. To truly master the subject, students must put in consistent effort to master the core mathematical principles. To perform well in the Senior Secondary Examination of Mathematics, students must study and practise the NCERT Solutions for Class 8 Maths, Chapter 9, Exercise 9.3.Students can also obtain the PDF file of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 from the Extramarks website or mobile application.

Access NCERT solutions for Class 8 Chapter 9-Algebraic Expressions and Identities

Mathematics is a significant and demanding discipline. To master this subject, students must put in the effort and practise exercise problems and solutions on a regular basis. Students must understand the core ideas of mathematics in order to obtain higher scores in the Senior Secondary Examination of Mathematics. To improve their results, students must constantly practise the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3. Mathematics is a difficult discipline to master. Students in Class 8 must be prepared for the Senior Secondary Examination of Mathematics. Students in Class 8 could refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 to polish their mathematical concepts.

Extramarks is an educational and pedagogical website. It offers services to students in order to make learning resources available to them and improve their learning experience. Extramarks also provides a mobile application that students may download on their phones to make it easier to access the required study material. Students in Class 8 can use the study materials offered on the Extramarks website to enhance their knowledge and improve their preparedness. Students of Class 8 may make use of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 provided by Extramarks. Students who begin preparing for the senior secondary examination early have an advantage over the majority. They must attentively and thoroughly go through the Mathematics curriculum. Mathematics is a scientific discipline. It is critical for students to understand mathematical principles in order to have a good command of them. To get good academic scores in the senior secondary examination, students must have a firm understanding of the fundamental concepts of Mathematics. Students are advised to use the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 in order to obtain better marks in the Senior Secondary Class 8 Mathematics Examination.

NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities Exercise 9.3

Extramarks provides students with suitable study materials and academic resources. Class 8 students get access to all the study materials required for all of the exercises in the Class 8 NCERT curriculum. Students should use the learning resources on the Extramarks website or mobile application to prepare for their senior secondary examination. Students in Class 8 can utilise the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 to prepare for the Mathematics examination. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 from Extramarks can be an extremely useful resource for students studying for the Senior Secondary Examination of Mathematics. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 can be downloaded by students from the Extramarks website or mobile application.

NCERT Solutions For Class 8

The NCERT book is the fundamental source of reference for the CBSE board examination.

Students should go through the NCERT Mathematics syllabus in its entirety. Students of Class 8 can use the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 for this task. Students must thoroughly read each chapter and comprehend the mathematical principles. It is critical that students prioritise knowing and practising mathematical concepts since they serve as the foundation for whole-skill development in the discipline of Mathematics. To enhance their understanding of essential mathematical principles, students can visit the Extramarks website to access the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3. It is important to note that the NCERT Class 8 Maths Chapter 9 Exercise 9.3 is one of the most important exercises that is part of the NCERT curriculum of Class 8 Mathematics. Students must regularly practise NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.3 in order to achieve exceptional results in the Senior Secondary Examination of Mathematics.

Q.1 Carry out the multiplication of the expressions in each of the following pairs.
(i) 4p, q + r
(ii) ab, a – b
(iii) a + b, 7a²b²
(iv) a² – 9, 4a
(v) pq + qr + rp, 0

Ans

$\begin{array}{l} (i) 4 p \times (q + r) \\ = (4 p \times q) + (4 p \times r) \\ = 4 pq + 4 pr \\ (ii) ab \times (a - b) \\ = ab \times a - ab \times b \\ = a^{2} b - {ab}^{2} \\ (iii) (a + b) \times 7 a^{2} b^{2} \\ = a \times 7 a^{2} b^{2} + b \times 7 a^{2} b^{2} \\ = 7 a^{3} b^{2} + 7 a^{2} b^{3} \\ ^{} \\ (iv) (a^{2} - 9) \times 4 a = a^{2} \times 4 a - 9 \times 4 a \\ = 4 a^{3} - 36 a \\ (v) (pq + qr + rp) \times 0 \\ = (pq \times 0) + (qr \times 0) + (rp \times 0) \\ = 0 \end{array}$

Q.2 Complete the table.

$\begin{matrix} First Expression & Second Expression & Product \\ (i) & a & b + c + d & . .. \\ (ii) & x + y - 5 & 5 xy & . .. \\ (iii) & p & 6 p^{2} - 7 p + 5 & . .. \\ (iv) & 4 p^{2} q^{2} & p^{2} - q^{2} & . .. \\ (v) & a + b + c & abc & . .. \end{matrix}$

Ans

$\begin{matrix} First Expression & Second Expression & Product \\ (i) & a & b + c + d & ab + ac + ad \\ (ii) & x + y - 5 & 5 xy & 5 x^{2} y + 5 {xy}^{2} - 25 xy \\ (iii) & p & 6 p^{2} - 7 p + 5 & 6 p^{3} - 7 p^{2} + 5 p \\ (iv) & 4 p^{2} q^{2} & p^{2} - q^{2} & 4 p^{4} q^{2} - 4 p^{2} q^{4} \\ (v) & a + b + c & abc & a^{2} bc + {ab}^{2} c + {abc}^{2} \end{matrix}$

Q.3

$\begin{array}{l} Find the product . \\ (i) (a^{2}) \times (2 a^{22}) \times (4 a^{26}) \\ (ii) (\frac{2}{3} xy) \times (\frac{- 9}{10} x^{2} y^{2}) \\ (iii) (\frac{- 10}{3} {pq}^{3}) \times (\frac{6}{5} p^{3} q) \\ (iv) x \times x^{2} \times x^{3} \times x^{4} \end{array}$

Ans

$\begin{array}{l} (i) (a^{2}) \times (2 a^{22}) \times (4 a^{26}) = 2 \times 4 \times a^{2} \times a^{22} \times a^{26} \\ = 8 a^{50} \\ (ii) (\frac{2}{3} xy) \times (\frac{- 9}{10} x^{2} y^{2}) = \frac{2}{3} \times \frac{- 9}{10} \times x \times x^{2} \times y \times y^{2} \\ = - \frac{3}{5} x^{3} y^{3} \\ (iii) (\frac{- 10}{3} {pq}^{3}) \times (\frac{6}{5} p^{3} q) = \frac{- 10}{3} \times \frac{6}{5} \times p \times q^{3} \times p^{3} \times q \\ = - 4 p^{4} q^{4} \\ (iv) x \times x^{2} \times x^{3} \times x^{4} = x^{10} \end{array}$

Q.4

$\begin{array}{l} (a) Simplify 3 x (4 x - 5) + 3 and find its values for \\ (i) x = 3 (ii) x = \frac{1}{2} \\ (b) Simplify a (a^{2} + a + 1) + 5 and find its value for \\ (i) a = 0, (ii) a = 1, (iii) a = - 1 \end{array}$

Ans

$\begin{array}{l} (a) \\ 3x (4x – 5) + 3 \\ = 3x×4x-3x×5+3 \\ {= 12x}^{2} -15x+3 \\ {(i) For x = 3, 12x}^{2} -15x+3= 12 {(3)}^{2} -15×3+3 \\ = 108-45+3 \\ = 66 \end{array}$

$\begin{array}{l} (ii) For x = \frac{1}{2}, 12 x^{2} - 15 x + 3 = 12 {(\frac{1}{2})}^{2} - 15 \times \frac{1}{2} + 3 \\ = 12 \times \frac{1}{4} - \frac{15}{2} + 3 \\ = 3 - \frac{15}{2} + 3 \\ = 6 - \frac{15}{2} = \frac{12 - 15}{2} = \frac{- 3}{2} \\ (b) \\ a (a^{2} + a + 1) + 5 = a \times a^{2} + a \times a + a \times 1 + 5 \\ = a^{3} + a^{2} + a + 5 \\ (i) For a = 0, a^{3} + a^{2} + a + 5 = 0 + 0 + 0 + 5 \\ = 5 \\ (ii) For a = 1, a^{3} + a^{2} + a + 5 = 1^{3} + 1^{2} + 1 + 5 \\ = 8 \\ (iii) For a = - 1, a^{3} + a^{2} + a + 5 = {(- 1)}^{3} + {(- 1)}^{2} + (- 1) + 5 \\ = (- 1) + 1 + (- 1) + 5 = 4 \end{array}$

Q.5

$\begin{array}{l} (a) Add : p (p - q), q (q - r) and r (r - p) \\ (b) Add : 2 x (z - x - y) and 2 y (z - y - x) \\ (c) Subtract : 3 l (l - 4 m + 5 n) from 4 l (10 n - 3 m + 2 l) \\ (d) Subtract : 3 a (a + b + c) - 2 b (a - b + c) \\ from 4 c (- a + b + c) \end{array}$

Ans

$\begin{array}{l} First we will simplify the given expressions and then add or subtract them . \\ (a) p (p - q) = p^{2} - pq \\ q (q - r) = q^{2} - qr \\ r (r - p) = r^{2} - rp \\ Now, adding all the expressions \\ p^{2} - pq \\ q^{2} - qr \\ + \underline{r^{2} - rp} \\ \underline{\begin{array}{l} p^{2} - pq + q^{2} - qr + r^{2} - rp \end{array}} \\ (b) 2 x (z - x - y) = 2 xz - 2 x^{2} - 2 xy \\ 2 y (z - y - x) = 2 yz - 2 y^{2} - 2 yx \\ Now, adding all the expressions \\ 2 xz - 2 x^{2} - 2 xy \\ + \underline{- 2 yx + 2 yz - 2 y^{2}} \\ \underline{2 xz - 2 x^{2} - 4 xy + 2 yz - 2 y^{2}} \\ (c) 3 l (l - 4 m + 5 n) = 3 l^{2} - 12 lm + 15 \ln \\ 4 l (10 n - 3 m + 2 l) = 40 \ln - 12 lm + 8 l^{2} \\ On subtracting them, we get \\ 40 \ln - 12 lm + 8 l^{2} \\ \underline{\begin{array}{l} 15 \ln - 12 lm + 3 l^{2} \\ (-) (+) (-) \end{array}} \\ {25ln +5l}^{2} \end{array}$

$\begin{array}{l} (d) 3 a (a + b + c) - 2 b (a - b + c) = 3 a^{2} + ab + 3 ac + 2 b^{2} - 2 bc \\ 4 c (- a + b + c) = - 4 ac + 4 cb + 4 c^{2} \\ On subtracting them, we get \\ - 4 ac + 4 cb + 4 c^{2} \\ \underline{\begin{array}{l} + 3 ac - 2 bc + 3 a^{2} + ab + 2 b^{2} \\ (-) (+) (-) (-) (-) \end{array}} \\ \underline{\begin{array}{l} - {7ac + 6bc + 4c}^{2} - 3 a^{2} - ab - 2 b^{2} \end{array}} \end{array}$

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FAQs (Frequently Asked Questions)

1. How can students perform well in the Senior Secondary Mathematics Examination of Class 8?

It is imperative that students perform well in the Senior Secondary Examination of Mathematics. To be able to do so, students are required to be thorough with their preparation. Students must start preparing for the concerned examination from the beginning of the academic year. It is suggested that students also practice sample papers and take mock tests. Students may regularly go through the revision notes of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3. They can access the required study material for their preparation from the Extramarks website.

2. Why is it advisable for students to refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 for their preparation?

The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 provided by Extramarks have been prepared by experts of the concerned discipline. They have been extensively elaborated for better comprehension of students. Students may use the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 to go through and understand the mathematical concepts in detail. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 can be an excellent tool for Class 8 students’ preparation for the Senior Secondary Examination of Mathematics.

NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.3

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities (EX 9.3) Exercise 9.3

Access NCERT solutions for Class 8 Chapter 9-Algebraic Expressions and Identities

NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities Exercise 9.3

NCERT Solutions For Class 8

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FAQs (Frequently Asked Questions)

1. How can students perform well in the Senior Secondary Mathematics Examination of Class 8?

2. Why is it advisable for students to refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 for their preparation?

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NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.3

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities (EX 9.3) Exercise 9.3

Access NCERT solutions for Class 8 Chapter 9-Algebraic Expressions and Identities

NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities Exercise 9.3

NCERT Solutions For Class 8

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FAQs (Frequently Asked Questions)

1. How can students perform well in the Senior Secondary Mathematics Examination of Class 8?

2. Why is it advisable for students to refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.3 for their preparation?

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