NCERT Solutions Class 8 Maths Chapter 9 Exercise 9.4

Mathematics is a fascinating field of study. Although it is an interesting subject, it can be quite difficult to understand at first. Mathematics is one of the core subjects that are taught to students from the beginning of their academic journey. It is taught to students from Class 1 up until Class 12. To be able to have a good command of mathematical skills, it is imperative for students to understand the basic concepts of Mathematics. Students of Class 8 can utilise the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 provided by Extramarks to strengthen their fundamental concepts of Mathematics. Class 8 Maths Chapter 9 Exercise 9.4 is one of the most important exercises covered in the NCERT Mathematics curriculum of Class 8. It is essential that students regularly practise the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4. Chapter 9 Algebraic Expressions and Identities is a chapter that covers the Mathematics concepts of Algebra and its uses. One of the most important mathematical languages is Algebra. It is important for students to understand this chapter thoroughly. To be able to get a complete understanding of Chapter 9 Algebraic Expressions and Identities, students are required to sincerely go through the concerned chapter. Practising  NCERT Class 8 Maths Chapter 9 Exercise 9.4 can prove beneficial for students’ comprehension of the concepts covered in this chapter. They may access the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 for their practise from the Extramarks website or mobile application.

NCERT Solutions For Class 8 Maths Chapter 9 Algebraic Expressions And Identities (EX 9.4) Exercise 9.4

Students preparing for the Senior Secondary Examination of Mathematics can go to the Extramarks website to obtain the required study material for their preparation. Extramarks is an educational and scholastic website that is concerned with providing students with pedagogical resources. Students can visit the Extramarks website and find the learning resources according to their requirements. Students in Class 8 who are preparing for the Senior Secondary Mathematics Examination can access the necessary study tools from the Extramarks website. Class 8 students may access the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 from the Extramarks website or mobile application to be well-prepared for the senior secondary examination. Class 8 is one of the most important examinations for which students appear.It is crucial that students make it a point to be thoroughly prepared in order to score outstanding marks in the concerned examination. Extramarks has made it possible for students to download the study materials and learning resources that they require.Students can access the necessary study tools in PDF format from the Extramarks website. It has provided this option to students to make it more convenient for them to obtain any study material they need. Students can also download the NCERT Solutions for Class 8 Maths, Chapter 9, Exercise 9.4 in PDF format.It is suggested that students of Class 8 refer to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 to understand its mathematical concepts in-depth. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 can help prepare students for their Mathematics examination, as they have been designed in accordance with the CBSE requirements. Class 8 students may download the PDF file of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 from the Extramarks website, for easy and quick access.

Access NCERT Solutions For Class 8 Chapter 9-Algebraic Expressions And Identities

The NCERT Mathematics Chapter 9 Algebraic Expressions and Identities is one of the most significant chapters that are taught to students of Class 8. It is advisable for students to cover this chapter thoroughly in order to be adequately prepared for the Mathematics Senior Secondary Examination. It is crucial for students to take note of the fact that  NCERT Chapter 9 of the Class 8 Mathematics textbook holds a substantial weightage in the senior secondary examination of Class 8. Students are required to familiarise themselves with the mathematical principles introduced in Class 8 Maths Exercise 9.4. Students may use the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 available on the Extramarks website and mobile application. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 have been prepared keeping in mind the senior secondary examination pattern.Studying from the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 can prove to be beneficial for students’ preparation. The study materials and learning resources available on the Extramarks website have been professionally curated by experts. Students of Class 8 are suggested to study for the Senior Secondary Examination of Mathematics with the help of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4. Extramarks also offers other pedagogical resources to students to aid them with their preparation. Students can access past years’ papers for all examinations, sample papers, revision notes, online live sessions, etc. from the Extramarks website or mobile application.

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.4

Students can access the NCERT solutions for all chapters of all subjects from the Extramarks website. The Senior Secondary Examinations that students appear for are based on the NCERT curriculum. The NCERT curriculum has been prepared in accordance with the Senior Secondary Examination pattern. It is advantageous for students of Class 8 to study with the help of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 which can be obtained from the Extramarks website or mobile application. To be able to access the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 from Extramarks, students are required to register themselves on the website. To register on the Extramarks website, students may use a particular number for registration. Once registered, students can then sign in on the Extramarks website or mobile application to acquire the required study materials and learning resources. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 have been designed keeping in mind the preparatory requirements of students of Class 8 appearing for the senior secondary examination. Once students have covered the syllabus, they are advised to regularly go through the revision notes for the concerned subject. Referring to revision notes consistently can help students better retain the information and knowledge they have acquired during their preparation. Class 8 students may acquire the revision notes of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 from the Extramarks website or mobile application.

NCERT Solutions for Class 8

Students of Class 8 are advised to study from the learning resources that are prepared as per the requirements of the Senior Secondary Examination of Mathematics. Students may access adequate study materials from Extramarks for their preparation. In order to prepare for their exams, it is advisable that students refer to sample papers and past years’ papers of the subject they are studying for. Going through sample papers and past years’ papers can help prepare students better for the concerned examination. It can give students an idea of what the examination paper is going to be like.  Extramarks provides students with sample papers for the NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.4 for practice.It is crucial for students to be consistent with their practice of Class 8 Maths Exercise 9.4 Solution to make sure that they secure high marks in the Senior Secondary Mathematics Examination. Extramarks provides students with the provision of taking doubt-clearing sessions in case of any queries. Class 8 students may attend doubt-clearing sessions in relation to the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 if they have any doubts or queries regarding the concerned topic. The NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 provided by Extramarks have been explained and elaborated extensively for students’ better comprehension of the mathematical concepts introduced in  Class 8 Mathematics Chapter 9. Students should prepare and practise for the mathematics examination using the NCERT Solutions for Class 8 Maths Chapter 9 Exercise 9.4.

Q.1

Multiply the binomials.(i) (2x+5) and (4x−3) (ii) (y−8) and (3y−4)(iii) (2.5l−0.5m) and (2.5l+0.5m) (iv) (a+3b) and (x+5)v (2pq+3q2) and (3pq−2q2)vi 34a2+3b2 and 4(a2−23b2)

Ans

(i) (2x+5) and (4x−3)=2x×(4x−3)+5×(4x−3)=8x2−6x+20x−15=8x2+14x−15(ii) (y−8) and (3y−4)=y×(3y−4)−8×(3y−4)=3y2−4y−24y+32=3y2+32−28y(iii) (2.5l−0.5m) and (2.5l + 0.5m)=2.5l×(2.5l+0.5m)−0.5m×(2.5l+0.5m)=6.25l2+1.25lm−1.25lm−0.25m2=6.25l2−0.25m2(iv) (a+3b) and (x+5)=a×(x+5)+3b×(x+5)=ax+5a+3bx+15b(v) (2pq+3q2) and (3pq−2q2)=2pq×(3pq−2q2)+3q2×(3pq−2q2)=6p2q2−4pq3+9pq3−6q4=6p2q2+5pq3−6q4vi 34a2+3b2 and 4(a2−23b2)=(34a2)×4(a2−23b2)+(3b2)×4(a2−23b2)=3a4−2a2b2+12a2b2−8b4=3a4+10a2b2−8b4

Q.2 Find the product.

(i) (5 – 2x) (3 + x)

(ii) (x + 7y) (7x – y)

(iii) (a2 + b) (a + b2)

(iv) (p2 – q2) (2p + q)

Ans

i 5 – 2x 3 +x=5×3 +x−2x3 +x                          =15+5x−6x−2x2                          =15−x−2x2ii x+ 7y 7x–y=x×7x–y+7y×7x–y                           =7x2−xy+49xy−7y2                           =7x2+48xy−7y2iii a2+b a+b2=a2×a+b2+b×a+b2                          =a3+a2b2+ba+b3iv p2–q2 2p+q=p2×2p+q–q2×2p+q                           =2p3+p2q−2q3−q3                           =2p3+p2q−3q3

Q.3 Simplify.

(i) (x2 – 5) (x + 5) + 25

(ii) (a2 + 5) (b3 + 3) + 5

(iii) (t + s2) (t2 – s)

(iv) (a + b) (c – d) + (a – b) (c + d) + 2 (ac + bd)

(v) (x + y)(2x + y) + (x + 2y)(x – y)

(vi) (x + y)(x2 – xy + y2)

(vii) (1.5x – 4y)(1.5x + 4y + 3) – 4.5x + 12y

(viii) (a + b + c)(a + b – c)

Ans

(i) (x2– 5)(x+ 5) + 25= x2(x+ 5)−5 (x+ 5)+25=x3+5x2−5x−25+25=x3+5x2−5x(ii) (a2+ 5)(b3+ 3) + 5=a2(b3+ 3)+5(b3+ 3)+5=a2b3+3a2+5b3+15+5=a2b3+3a2+5b3+20(iii) (t+s2)(t2–s)=t(t2–s)+s2(t2–s)=t3−ts+s2t2−s3(iv)(a+b)(c–d) + (a–b)(c+d)+2 (ac+bd)=a(c–d)+b(c–d)+a(c+d)−b(c+d)+2 (ac+bd)=ac−ad+bc−bd+ac+ad−bc−bd+2ac+2bd=4ac(v) (x+y)(2x+y) + (x+ 2y)(x–y) =x(2x+y)+y(2x+y)+x(x–y) +2y(x–y) =2x2+xy+2xy+y2+x2−xy+2xy−2y2=3x2−y2+4xy (vi) (x+y)(x2–xy+y2)=x(x2–xy+y2)+y(x2–xy+y2)=x3−x2y+xy2+yx2−xy2+y3=x3+y3(vii) (1.5x– 4y)(1.5x+ 4y+ 3)– 4.5x+ 12y=1.5x(1.5x+ 4y+ 3)−4y(1.5x+ 4y+ 3)– 4.5x+ 12y=2.25x2+6xy+4.5x−6xy−16y2−12y−4.5x+12y=2.25x2−16y2(viii) (a+b+c)(a+b–c) =a(a+b–c) +b(a+b–c)+c (a+b–c) =a2+ab−ac+ab+b2−bc+ac+cb−c2=a2+b2−c2+2ab

Please register to view this section

FAQs (Frequently Asked Questions)

1. Why is it recommended for students to study from Extramarks’ NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 for their preparation?

Extramarks is considered one of the most reliable educational websites, offering top-grade resources and study materials to help students prepare for examinations. It provides students with a variety of educational materials, including past years’ papers, practice papers, revision notes, online live sessions, and the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 for the Senior Secondary Examination of Mathematics. Extramarks is highly recommended for several exams, including NEET, JEE Mains, JEE Advance, CUET, and others. Students who do not have access to the internet can get the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 in PDF format from the Extramarks website or mobile application.

2. Where can students access study materials for the preparation of the Senior Secondary Mathematics Examination of Class 8?

Students may find the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 on the Extramarks website. Students must register on the Extramarks website in order to use the study material provided by Extramarks. The study material includes revision notes, sample papers, solved examples, past years’ papers, and so on. Extramarks’ services are available to students to assist them in their preparation. Students must ensure that their revision of the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 is consistent during exam preparation. Practising the NCERT Solutions For Class 8 Maths Chapter 9 Exercise 9.4 can help students in being more prepared for the exam.