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

Question 26 Factorization of Polynomials Exercise 3B

9 − 𝑎^2 + 2𝑎𝑏 − 𝑏^2

Answer:

9 − 𝑎^2 + 2𝑎𝑏 − 𝑏^2

We can further write it as

= 9 − (𝑎^2 − 2𝑎𝑏 + 𝑏^2)

So we get

= 3^2- (𝑎 − 𝑏)^2

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

We get,

= (3 + a – b) (3 – a + b)

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