Divide.
-$\frac { 5 x - 5 } { x } \div \frac { 8 x - 8 } { 7 x ^ { 2 } }$
A) $\frac { 8 } { 35 x }$
B) $\frac { 35 x ^ { 2 } ( x - 1 ) } { 8 x ( x - 1 ) }$
C) $\frac { 40 ( x + 1 ) ^ { 2 } } { 7 x ^ { 3 } }$
D) $\frac { 35 x } { 8 }$

Question

Quizplus · Accepted Answer

To solve the division problem, first, simplify each fraction and then multiply by the reciprocal of the second fraction. Simplify $\frac { 5 x - 5 } { x }$ to $\frac { 5(x - 1) } { x }$ and $\frac { 8 x - 8 } { 7 x ^ { 2 } }$ to $\frac { 8(x - 1) } { 7x^2 }$. The division $\frac { 5(x - 1) } { x } \div \frac { 8(x - 1) } { 7x^2 }$ becomes $\frac { 5(x - 1) } { x } \cdot \frac { 7x^2 } { 8(x - 1) }$. The (x - 1) terms cancel out, and simplifying gives $\frac { 35x } { 8 }$.

Divide - 5x−5x÷8x−87x2\frac { 5 x - 5 } { x } \div \frac { 8 x - 8 } { 7 x ^ { 2 } }x5x−5​÷7x28x−8​

Divide
- $\frac { 5 x - 5 } { x } \div \frac { 8 x - 8 } { 7 x ^ { 2 } }$