Multiply or divide as indicated.
-$\frac { x ^ { 2 } - 36 } { 6 y } \div \frac { 6 - x } { 12 x y }$
A)-2x(x - 6)
B)-2x(x + 6)
C)2x(x + 6)
D)2x(x - 6)

Question

Quizplus · Accepted Answer

To divide fractions, multiply by the reciprocal. The expression becomes $\frac{x^2 - 36}{6y} \times \frac{12xy}{6-x}$. Factor $x^2 - 36$ as $(x+6)(x-6)$ and $6-x$ as $-(x-6)$. The expression simplifies to $-2x(x+6)$.

Multiply or Divide as Indicated x2−366y÷6−x12xy\frac { x ^ { 2 } - 36 } { 6 y } \div \frac { 6 - x } { 12 x y }6yx2−36​÷12xy6−x​

Multiply or Divide as Indicated $\frac { x ^ { 2 } - 36 } { 6 y } \div \frac { 6 - x } { 12 x y }$