Use suitable identity to solve $(a^{2} + b^{2}) (- a^{2} + b^{2})$

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Solution

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

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