Perform the indicated operation. Give the answer in lowest terms.
-$\frac{3 \mathrm{p}-3}{\mathrm{p}} \cdot \frac{3 \mathrm{p}^{2}}{6 \mathrm{p}-6}$
A) $\frac{18 p^{2}+36 p+18}{3 p^{3}}$
B) $\frac{3 p}{2}$
C) $\frac{2}{3 p}$
D) $\frac{9 p^{3}-9 p^{2}}{6 p^{2}-6 p}$

Question

Perform the indicated operation. Give the answer in lowest terms.
-$\frac{3 \mathrm{p}-3}{\mathrm{p}} \cdot \frac{3 \mathrm{p}^{2}}{6 \mathrm{p}-6}$ 
A) $\frac{18 p^{2}+36 p+18}{3 p^{3}}$
B) $\frac{3 p}{2}$
C) $\frac{2}{3 p}$
D) $\frac{9 p^{3}-9 p^{2}}{6 p^{2}-6 p}$

Quizplus · Accepted Answer

The expression simplifies to $\frac{3(p-1)}{p} \cdot \frac{3p^2}{6(p-1)}$, which further simplifies to $\frac{3p}{2}$ after canceling common factors.

Perform the Indicated Operation 3p−3p⋅3p26p−6\frac{3 \mathrm{p}-3}{\mathrm{p}} \cdot \frac{3 \mathrm{p}^{2}}{6 \mathrm{p}-6}p3p−3​⋅6p−63p2​ A) 18p2+36p+183p3\frac{18 p^{2}+36 p+18}{3 p^{3}}3p318p2+36p+18​

Perform the Indicated Operation $\frac{3 \mathrm{p}-3}{\mathrm{p}} \cdot \frac{3 \mathrm{p}^{2}}{6 \mathrm{p}-6}$ A) $\frac{18 p^{2}+36 p+18}{3 p^{3}}$