Subtract. Simplify, if possible.
-$$\frac { p } { p - q } - \frac { p } { p + q }$$
A)$ - \frac { p } { q }$
B) $\frac { 2 p ^ { 2 } - 2 p q } { ( p - q ) ^ { 2 } }$
C) $\frac { 2 p q } { ( p - q ) ( p + q ) }$
D) 0

Question

Quizplus · Accepted Answer

To subtract the fractions, find a common denominator, which is $(p - q)(p + q)$. The subtraction becomes $\frac{p(p + q) - p(p - q)}{(p - q)(p + q)} = \frac{p^2 + pq - p^2 + pq}{(p - q)(p + q)} = \frac{2pq}{(p - q)(p + q)}$.

Subtract Simplify, If Possible pp−q−pp+q\frac { p } { p - q } - \frac { p } { p + q }p−qp​−p+qp​

Subtract Simplify, If Possible $\frac { p } { p - q } - \frac { p } { p + q }$