Answer
$t^{3}-2t^{2}-10t+15$
Work Step by Step
$(t+3)(t^{2}-5t+5)=t(t^{2}-5t+5)+3(t^{2}-5t+5)=(t)(t^{2})+(t)(-5t)+(t)(5)+(3)(t^{2})+(3)(-5t)+(3)(5)=t^{3}-5t^{2}+5t+3t^{2}-15t+15=t^{3}-2t^{2}-10t+15$
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