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

Question 33 Factorization of Polynomials Exercise 3B

𝑥^2 + 1/𝑥^2 − 3

Answer:

𝑥^2 + 1/𝑥^2 − 3

We can further write it as

= 𝑥^2 +1/𝑥^2 − 2 − 1

So we get,

= (𝑥^2 +1/𝑥^2 − 2) − 1

It can also be written as

= (𝑥^2 + 1/𝑥^2 − 2 × 𝑥^2 × 1/𝑥^2) − 1^2

= (𝑥 − 1/𝑥)^2− 1^2

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

We get,

= (𝑥 −1/𝑥− 1) (𝑥 −1/𝑥+ 1)

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