Question 1(viii)
Factorise the following expressions
$a^{4} + 2 a^{2} b^{2} + b^{4}$

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Solution

$a^{4} + 2 a^{2} b^{2} + b^{4} = (a^{2})^{2} + 2 (a^{2}) (b^{2}) + (b^{2})^{2} = (a^{2} + b^{2})^{2} [U s i n g t h e i d e n t i t y (a + b)^{2} = a^{2} + 2 a b + b^{2}]$

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