$Simplify : (3 x - 7 x)^{2} - (7 x - 3 x)^{2}$

14 x^{2}

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21 x^{2}

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28 x^{2}

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0

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Solution

The correct option is D $0$
$(3 x - 7 x)^{2} - (7 x - 3 x)^{2}$

$We know that$
$(a - b)^{2} - (b - a)^{2}$
= $(a^{2} - 2 a b + b^{2}) - (b^{2} - 2 a b + a^{2})$
= $a^{2} - 2 a b + b^{2} - b^{2} + 2 a b - a^{2}$
= $0$
$Now, here a = 3 x and b = 7 x$ .

$Thus, (3 x - 7 x)^{2} - (7 x - 3 x)^{2} = 0$

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