Factor completely. $$\frac { 64 } { 81 } r ^ { 2 } - \frac { 16 } { 25 } s ^ { 2 }$$
A) $\left( \frac { 8 } { 9 } r + \frac { 4 } { 5 } s \left( \frac { 8 } { 9 } r - \frac { 4 } { 5 } s \right) \right.$
B) $( r + s ) \left( \frac { 64 } { 81 } r - \frac { 16 } { 25 } s \right)$
C) $\left( \frac { 8 } { 9 } r - \frac { 4 } { 5 } s \right) ^ { 2 }$
D) $\left( \frac { 8 } { 9 } r + \frac { 4 } { 5 } s \right) ^ { 2 }$

Question

Quizplus · Accepted Answer

This expression is a difference of squares, factoring to $\left( \frac{8}{9}r + \frac{4}{5}s \right)\left( \frac{8}{9}r - \frac{4}{5}s \right)$.

Factor Completely 6481r2−1625s2\frac { 64 } { 81 } r ^ { 2 } - \frac { 16 } { 25 } s ^ { 2 }8164​r2−2516​s2

Factor Completely $\frac { 64 } { 81 } r ^ { 2 } - \frac { 16 } { 25 } s ^ { 2 }$