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

Question 16 Factorization of Polynomials Exercise 3F

32𝑥^4 − 500𝑥

Answer:

32𝑥^4 − 500𝑥

We can write the given question as,

32𝑥^4 − 500𝑥 = 4𝑥(8𝑥^3 − 125)

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

4𝑥(8𝑥^3 − 125)

= 4𝑥((2𝑥)^3 − 5^3)

Using the equation,

= 4𝑥(2𝑥 − 5)((2𝑥)^2 + (2𝑥)(5) + (5)^2)

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