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