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

Question 2 Factorization of Polynomials Exercise 3F

27𝑎^3 + 64𝑏^3

Answer:

27𝑎^3 + 64𝑏^3

According to the equation,

𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)

So we get,

27𝑎^3 + 64𝑏^3

= (3𝑎)^3 + (4𝑏)^3

Using the equation,

= (3𝑎 + 4𝑏)((3𝑎)^2 − (3𝑎)(4𝑏) + (4𝑏)^2)

= (3𝑎 + 4𝑏)(9𝑎^2 − 12𝑎𝑏 + 16𝑏^2)

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