Question
Simplify: $\left(\mathrm{p}+\frac{\mathrm{p}}{3}\right)\left(2 \mathrm{p}+\frac{\mathrm{p}}{2}\right)\left(3 \mathrm{p}-\frac{2 \mathrm{p}}{3}\right)$
✓
Answer
$\begin{aligned} & \left(p+\frac{p}{3}\right)\left(2 p+\frac{p}{2}\right)\left(3 p-\frac{2 p}{3}\right) \\ & =p\left(1+\frac{1}{3}\right) p\left(2+\frac{1}{2}\right) p\left(3-\frac{2}{3}\right) \\ & =p^3\left(\frac{3+1}{3}\right)\left(\frac{4+1}{2}\right)\left(\frac{9-2}{3}\right) \\ & =p^3 \times \frac{4}{3} \times \frac{5}{2} \times \frac{7}{3} \\ & =p^3 \times \frac{70}{9}=\frac{70 p^3}{9}\end{aligned}$
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