Q

# Factorise the following expressions a ^4 + 2 a^2 b ^2+b^4

Q1 Factorise the following expressions

(VIII)

$a ^4 +2 a ^2 b ^ 2 + b ^ 4$

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We have,
$a ^4 +2 a ^2 b ^ 2 + b ^ 4$ = $a^{4}$ + $a^{2}b^{2}$ + $a^{2}b^{2}$ + $b^{4}$
=$a^{2}(a^{2 }+ b^{2}) + b^{2}(a^{2}+b^{2})$ = $(a^{2}+b^{2})(a^{2}+b^{2})$ = $(a^{2}+b^{2})^{2}$

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