Question 3(iii)
Simplify:
$(t + s^{2}) (t^{2} - s)$

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Solution

$(t + s^{2}) (t^{2} - s) = t (t^{2} - s) + s^{2} (t^{2} - s)$
$= t \times t^{2} - t \times s + s^{2} \times t^{2} - s^{2} \times s$
$= t^{3} - s t + s^{2} t^{2} - s^{3}$

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