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

Question 37 Factorization of Polynomials Exercise 3B

16𝑥^4 − 1

Answer:

16𝑥^4 − 1

We can further write it as

= (4𝑥^2)^2 − 1^2

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

We get,

= (4𝑥^2 + 1)(4𝑥^2 − 1)

On further simplification using the formula

= (4𝑥^2 + 1)( (2𝑥)^2 − 1^2)

So we get,

= (4𝑥^2 + 1)(2𝑥 + 1)(2𝑥 − 1)

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