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

Question

Quizplus · Accepted Answer

To divide fractions, multiply by the reciprocal. The expression becomes $\frac{(s-x)^2}{s+x} \times \frac{s}{s^2-sx}$. Simplify $\frac{s}{s(s-x)}$ to $\frac{1}{s-x}$. Multiply $(s-x)^2$ by $\frac{1}{s-x}$ to get $s-x$. The final expression is $\frac{s-x}{s+x}$.

Find the Quotient and Simplify (s−x)2s+x÷s2−sxs\frac { ( s - x ) ^ { 2 } } { s + x } \div \frac { s ^ { 2 } - s x } { s }s+x(s−x)2​÷ss2−sx​

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