The correct option is A 4ax(a+x)^2 (a x)^2 Using the identity: a^2 b^2=(a+b)(a b) ⇒ nbsp;(a+x)^2 (a x)^2 =(a+x+a x)(a+x a+x) =(2a)(2x)=4ax ...

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

Simplify :a+x...

Question

$S i m p l i f y : (a + x)^{2} - (a - x)^{2}$

4ax

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2a + 2x

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Solution

The correct option is A 4ax
$(a + x)^{2} - (a - x)^{2}$
Using the identity:
$a^{2} - b^{2} = (a + b) (a - b) \Rightarrow (a + x)^{2} - (a - x)^{2} = (a + x + a - x) (a + x - a + x) = (2 a) (2 x) = 4 a x$

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