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

Question 14 Factorization of Polynomials Exercise 3F

𝑥^3/216− 8𝑦^3

Answer:

𝑥^3/216− 8𝑦^3

According to the equation,

𝑎^3 − 𝑏^3 = (𝑎 − 𝑏)(𝑎^2 + 𝑎𝑏 + 𝑏^2)

So we get,

𝑥^3/216− 8𝑦^3

= (𝑥/6)^3− (2𝑦)^3

Based on the formula,

= (𝑥/6− 2𝑦)((𝑥/6)^2+ (𝑥/6)(2𝑦) + (2𝑦)^2)

= (𝑥/6− 2𝑦)(𝑥^2/36+𝑥𝑦/3+ 4𝑦^2)

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