Question

11. Evaluate (x + 2y) (x2 - 2xy + 4y2 ) by using suitable identity.

Answer 1

Hey There,

Here we are going to use one simple identity:


$(a+b)(a^2-ab+b^2) = a^3+b^3$

Here, we can solve the question as follows:

$(x+2y)(x^2-2xy+4y^2) \\ \\ =(x+2y)(x^2-(x)(2y)+(2y)^2) \\ \\ =(x)^3+(2y)^3 \\ \\ =x^3+8y^3$

Hope it helps
Purva
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