Factorise: a^4– b^4 - Vidyadip

Question

Factorise: $a^4– b^4$

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Answer

$a^4– b^4$
$= (a^2)^2– (b^2)^2$
$= (a^2– b^2) (a^2+ b^2)$
$= (a – b) (a + b) (a^2+ b^2). . . . $[Using Identity $III$

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