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

Question 26 Factorization of Polynomials Exercise 3F

𝑎^3 -1/𝑎^3 − 2𝑎 +2/𝑎

Answer:

𝑎^3 -1/𝑎^3 − 2𝑎 +2/𝑎

= 𝑎^3 −1/𝑎^3 − 2(𝑎 −1/𝑎)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

𝑎^3 −1/𝑎^3 − 2(𝑎 +1/𝑎)

= (𝑎 −1/𝑎)(𝑎^2 + 𝑎(1/𝑎) + (1/𝑎)^2) − 2(𝑎 −1/𝑎)

On further simplification

= (𝑎 −1/𝑎)(𝑎^2 + 1 +1/𝑎^2 − 2)

= (𝑎 −1/𝑎)(𝑎^2 +1/𝑎^2 − 1)

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