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

Question 38 Factorization of Polynomials Exercise 3B

81𝑥^4 − 𝑦^4

Answer:

81𝑥^4 − 𝑦^4

We can further write it as

= (9𝑥^2)^2 − (𝑦^2)^2

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

We get,

= (9𝑥^2 + 𝑦^2)(9𝑥^2 − 𝑦^2)

On further simplification using the formula

= (9𝑥^2 + 𝑦^2)( (3𝑥)^2 − 𝑦^2)

So we get,

= (9𝑥^2 + 𝑦^2)(3𝑥 + 𝑦)(3𝑥 − 𝑦)

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