Find the quotient and simplify.
-$\frac { ( r - x ) ^ { 2 } } { r + x } \div \frac { r ^ { 2 } - r x } { r }$
A) $\frac { r - x } { r + x }$
B) $\frac { x } { r + x }$
C) $\frac { r + x } { r - x }$
D) $\frac { ( r - x ) ^ { 3 } } { r + x }$

Question

Quizplus · Accepted Answer

To solve, first rewrite the division as multiplication by the reciprocal: $\frac { ( r - x ) ^ { 2 } } { r + x } \times \frac { r } { r ^ { 2 } - r x }$. Simplify the second fraction to $\frac { r } { r(r - x) }$ which simplifies further to $\frac { 1 } { r - x }$. The expression now is $\frac { ( r - x ) ^ { 2 } } { r + x } \times \frac { 1 } { r - x }$. Simplifying, we get $\frac { r - x } { r + x }$.

Find the Quotient and Simplify (r−x)2r+x÷r2−rxr\frac { ( r - x ) ^ { 2 } } { r + x } \div \frac { r ^ { 2 } - r x } { r }r+x(r−x)2​÷rr2−rx​

Find the Quotient and Simplify $\frac { ( r - x ) ^ { 2 } } { r + x } \div \frac { r ^ { 2 } - r x } { r }$