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

Question 28 Factorization of Polynomials Exercise 3F

𝑎^6 + 𝑏^6

Answer:

𝑎^6 + 𝑏^6

The given question can be written as

= (𝑎^2)^3 + (𝑏^2)^3

According to the equation

𝑎^3 + 𝑏^3 = (𝑎 + 𝑏)(𝑎^2 − 𝑎𝑏 + 𝑏^2)

We can write the question as,

(𝑎^2)^3 + (𝑏^2)^3

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

So we get,

= (𝑎^2 + 𝑏^2)(𝑎^4 − 𝑎^2𝑏^2 + 𝑏^4)

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