Perform the operations and simplify the result when possible. $\frac { c } { c - d } + \frac { d } { c + d } - \frac { c ^ { 2 } + d ^ { 2 } } { a ^ { 2 } - b ^ { 2 } }$
A) $\frac { 2 d } { c ^ { 2 } + d ^ { 2 } }$
B) $\frac { 2 c } { c + d }$
C) $\frac { 2 d } { c + d }$
D) $\frac { 2 c } { c ^ { 2 } + d ^ { 2 } }$
E) $\frac { 2 d } { c ^ { 2 } - d ^ { 2 } }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac{2d}{c+d}$ after finding a common denominator and simplifying the terms.

Perform the Operations and Simplify the Result When Possible cc−d+dc+d−c2+d2a2−b2\frac { c } { c - d } + \frac { d } { c + d } - \frac { c ^ { 2 } + d ^ { 2 } } { a ^ { 2 } - b ^ { 2 } }c−dc​+c+dd​−a2−b2c2+d2​

Perform the Operations and Simplify the Result When Possible $\frac { c } { c - d } + \frac { d } { c + d } - \frac { c ^ { 2 } + d ^ { 2 } } { a ^ { 2 } - b ^ { 2 } }$