Factor completely.
-$$81 m ^ { 2 } - \frac { 9 } { 16 }$$
A) $\left( 9 m - \frac { 3 } { 4 } \right) ^ { 2 }$
B) $\left( 9 m + \frac { 3 } { 4 } \right) \left( 9 m - \frac { 3 } { 4 } \right)$
C) Prime
D) $\left( 9 m + \frac { 3 } { 4 } \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

This expression is a difference of squares, where $a^2 = 81m^2$ and $b^2 = \frac{9}{16}$. Factoring a difference of squares results in $(a+b)(a-b)$, which matches option B: $\left(9m + \frac{3}{4}\right)\left(9m - \frac{3}{4}\right)$.

Factor Completely 81m2−91681 m ^ { 2 } - \frac { 9 } { 16 }81m2−169​

Factor Completely $81 m ^ { 2 } - \frac { 9 } { 16 }$