Evaluate : $(a^{2} + b^{2}) (- a^{2} + b^{2})$

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Solution

$(a^{2} + b^{2}) (- a^{2} + b^{2}) = (a^{2} + b^{2}) (b^{2} - a^{2})$
$= (b^{4} - a^{4})$ $(∵ (a + b) (a - b) = a^{2} - b^{2})$

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