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

Question 39 Factorization of Polynomials Exercise 3B

𝑥^4 − 625

Answer:

𝑥^4 − 625

We can further write it as

= (𝑥^2)^2 − 25^2

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

We get,

= (𝑥^2 + 25)(𝑥^2 − 25)

On further simplification using the formula

= (𝑥^2 + 25)(𝑥^2 − 5^2)

So we get,

= (𝑥^2 + 25)(𝑥 + 5)(𝑥 − 5)

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