As we know, (a+b)^2= a^2+2ab+b^2 #10;Using formula to expand (x+2y)^2 #160;let a = x , b= 2y substituing in the above formula we get: ...

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Expansion of (a ± b ± c)²

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Question

Expand: $(x + 2 y)^{2}$

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Solution

As we know, $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
Using formula to expand $(x + 2 y)^{2}$
let $a = x, b = 2 y$ substituing in the above formula we get:
$(x + 2 y)^{2}$ = $x^{2} + 2 (x) (2 y) + (2 y)^{2}$
$\Rightarrow$ $(x + 2 y)^{2} = x^{2} + 4 x y + 4 y^{2}$ is the answer.

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