RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.3) Exercise 7.3 - Free PDF
FAQs on RD Sharma Class 8 Solutions Chapter 7 - Factorization (Ex 7.3) Exercise 7.3
1. Where can I access the solutions of other exercises in chapter 7 - Factorization?
Chapter 7 - factorization consists of 5 exercises in total, students can access the solutions to all the questions in those five exercises from the links given below to the relevant pages on the web platform of Vedantu. Given below are the links to the solutions of all four exercise questions of chapter 7 of RD Sharma of class 8 -
Expert maths teachers, available at Vedantu have formulated these solutions with the utmost care to help students understand the concept better and secure good marks in their examination.
2. List all the important topics covered in Class 8 chapter 7 - Factorization?
Listed down here are some of the most important topics covered in the RD Sharma class 8 chapter 7 - Factorizations. -
Definition of factors and factorization
Factors of monomials. The common and greatest common factor of monomials.
Factorization of algebraic expressions if a monomial is a common factor.
Factorization of algebraic expressions when a common Binomial factor occurs in each term.
Factorization by grouping the terms
factorization of quadratic polynomials.
factorization of quadratic polynomials with the method of perfect squares.
Students can learn more about these topics by solving questions from the RD Sharma book for class 8 chapter 7 exercises.
3. Write down all the Identities that are used in chapter 7 - Factorization?
The basic identities that are used in the RD Sharma Class 8 chapter 7 - Factorization are written below:-
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab + b2
(a + b)(a - b) = a2 - b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
(a + b)3 = a3+ 3a2b + 3a b2 + b3
(a+x)(a+y) = a2 + (x+y)a + xy
Using all these identities, the factors of many different equations can be found.
4. Give examples of the questions that might be asked in the RD Sharma Class 8 Chapter 7 - Factorization (Ex 7 C) Exercise 7.3?
Example 1:- Factorize the following algebraic expressions.
1. (2x – 4y) (a + b) + (4x – 2y) (a + b)
Solution:
(2x – 4y) (a + b) + (4x – 2y) (a + b) is Given
By taking (a + b) as common we get,
\[[(2x – 4y) + (4x – 2y)] (a + b)\]
\[[2x -4y + 4x – 2y] (a + b)\]
\[[6x – 6y] (a + b)\]
\[(a + b) 6(x – y)\] Ans.
2.a (x – y) + 3b (y – x) + c (x – y)2
Solution:
a (x – y) + 3b (y – x) + c (x – y)2 ….(Given)
By taking (-1) as common in the second term, we will get,
a (x – y) – 3b (x – y) + c (x – y)2
Then, by taking (x – y) as common we get,
\[[a – 3b + c(x – y)] (x – y)\]
\[(x – y) (a – 3b + cx – cy)\] Ans.