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Algebraic Identities

a2-b2 is equa...

Question

$a^{2} - b^{2}$ is equal to
$(a) (a - b)^{2}$
$(b) (a - b) (a - b)$
$(c) (a - b) (a + b)$
$(d) (a + b) (a + b)$

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Solution

Lets evaluate $a^{2} - b^{2}$ ,
$a^{2} - b^{2}$
$= a^{2} - a b + a b - b^{2}$
$= a (a - b) + b (a - b)$
$= (a - b) (a + b)$
Therefore, $a^{2} - b^{2} = (a - b) (a + b)$
Hence, Option $(c)$ is correct.

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Algebraic Identities

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