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RS Aggarwal Solutions Class 9 Mathematics Solutions for Factorization of Polynomials Exercise 3B in Chapter 3 - Factorization of Polynomials

Question 31 Factorization of Polynomials Exercise 3B

4𝑥^2 − 9𝑦^2 − 2𝑥 − 3𝑦

Answer:

4𝑥^2 − 9𝑦^2 − 2𝑥 − 3𝑦

We can further write it as

= (2𝑥)^2- (3𝑦)^2- (2x + 3y)

Based on the equation 𝑎^2 − 𝑏^2 = (𝑎 + 𝑏)(𝑎 − 𝑏)

We get,

= (2x + 3y) (2x – 3y) – (2x + 3y)

Taking (2x + 3y) as common

= (2x + 3y) (2x – 3y – 1)

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