Perform the operations and simplify the result when possible. $\frac { 4 } { a b ^ { 2 } } - \frac { 7 } { a ^ { 2 } b }$
A) $- \frac { 3 ( a - b ) } { a ^ { 2 } b ^ { 2 } }$
B) $\frac { 4 a - 7 b } { a b ^ { 2 } }$
C) $- \frac { 3 a b } { a ^ { 2 } b ^ { 2 } }$
D) $\frac { 4 a - 7 b } { a ^ { 2 } b ^ { 2 } }$
E) $\frac { 4 a - 7 b } { a b }$

Question

Quizplus · Accepted Answer

To combine the fractions, find a common denominator, which is $a^2b^2$. The expression becomes $\frac{4b}{a^2b^2} - \frac{7a}{a^2b^2} = \frac{4b-7a}{a^2b^2}$, matching choice D.

Perform the Operations and Simplify the Result When Possible 4ab2−7a2b\frac { 4 } { a b ^ { 2 } } - \frac { 7 } { a ^ { 2 } b }ab24​−a2b7​

Perform the Operations and Simplify the Result When Possible $\frac { 4 } { a b ^ { 2 } } - \frac { 7 } { a ^ { 2 } b }$