Question 4(i)
Simplify:
$(a^{2} - b^{2})^{2}$

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Solution

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

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Question 85 (xiii)

Expand the following, using suitable identities.

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(a^{2} - b^{2})^{2}

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