Perform the indicated operations.
-$$\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + \frac { 4 } { 2 }$$
A) $\frac { 2 a + 3 b } { a + b }$
B) $\frac { 2 a + 3 b } { a ^ { 2 } - b ^ { 2 } }$
C) $\frac { 2 a b - b + 2 } { a + b + 1 }$
D) $\frac { ( a - b ) ( 2 a + 3 b ) } { a ^ { 2 } - b ^ { 2 } }$

Question

Quizplus · Accepted Answer

The correct answer is A because:$\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + \frac { 4 } { 2 } = \frac { 2 a b } { ( a + b ) ( a - b ) } - \frac { b ( a + b ) } { ( a - b ) ( a + b ) } + \frac { 4 ( a + b ) } { 2 ( a + b ) }$= $\frac { 2 a b - b ( a + b ) + 4 ( a + b ) } { ( a + b ) ( a - b ) }$= $\frac { 2 a b - a b - b ^ { 2 } + 4 a + 4 b } { ( a + b ) ( a - b ) }$= $\frac { a b - b ^ { 2 } + 4 a + 4 b } { ( a + b ) ( a - b ) }$= $\frac { ( a - b ) ( 2 a + 3 b ) } { ( a + b ) ( a - b ) }$= $\frac { 2 a + 3 b } { a + b }$

Perform the Indicated Operations 2aba2−b2−ba−b+42\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + \frac { 4 } { 2 }a2−b22ab​−a−bb​+24​

Perform the Indicated Operations $\frac { 2 a b } { a ^ { 2 } - b ^ { 2 } } - \frac { b } { a - b } + \frac { 4 } { 2 }$