Question 1(vi)
Use a suitable identity to get each of the following products:
$(a^{2} + b^{2}) (- a^{2} + b^{2})$

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Solution

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

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