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

Question 34 Factorization of Polynomials Exercise 3B

𝑥^2 − 2 +1/𝑥^2 − 𝑦^2

Answer:

𝑥^2 − 2 +1/𝑥^2 − 𝑦^2

We can further write it as

= (𝑥^2 − 2 × 𝑥^2 ×1/𝑥^2 +1/𝑥^2) − 𝑦^2

So we get

= (𝑥 −1/𝑥)^2− 𝑦^2

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

We get,

= (𝑥 −1/𝑥+ 𝑦) (𝑥 −1/𝑥− 𝑦)

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