Find the product and simplify.
-$\frac { 5 p - 5 } { p } \cdot \frac { 2 p ^ { 2 } } { 8 p - 8 }$
A) $\frac { 5 p } { 4 }$
B) $\frac { 10 p ^ { 3 } - 10 p ^ { 2 } } { 8 p ^ { 2 } - 8 p }$
C) $\frac { 40 p ^ { 2 } + 80 p + 40 } { 2 p ^ { 3 } }$
D) $\frac { 4 } { 5 p }$

Question

Quizplus · Accepted Answer

First, factor out the common terms in both the numerator and the denominator: $\frac{5(p-1)}{p} \cdot \frac{2p^2}{8(p-1)}$. Simplify by canceling out common terms and reducing: $\frac{5}{1} \cdot \frac{2p}{8}$ simplifies to $\frac{5p}{4}$, which matches choice A.

Find the Product and Simplify 5p−5p⋅2p28p−8\frac { 5 p - 5 } { p } \cdot \frac { 2 p ^ { 2 } } { 8 p - 8 }p5p−5​⋅8p−82p2​

Find the Product and Simplify $\frac { 5 p - 5 } { p } \cdot \frac { 2 p ^ { 2 } } { 8 p - 8 }$