Question
Factorise the expression: $a^4+ 2a^2b^2+ b^4$
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Answer
$a^4+ 2a^2b^2+ b^4$
$= (a^2)^2+ 2(a^2) (b^2) + (b^2)^2$
$= (a^2+ b^2)^2 . . . [$Using Identity $I$
$= (a^2)^2+ 2(a^2) (b^2) + (b^2)^2$
$= (a^2+ b^2)^2 . . . [$Using Identity $I$
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