Perform the indicated operation and write your answer with positive integer exponents.
-$$\frac { x ^ { 2 } - 49 y ^ { - 2 } } { \left( x - 7 y ^ { - 1 } \right) \left( x + 7 y ^ { - 1 } \right) }$$
A) $\frac { x y ^ { 2 } } { y - x }$
B) 1
C) $\frac { y ^ { 2 } - x } { x y - 7 }$
D) $- 1$

Question

Quizplus · Accepted Answer

The numerator is a difference of squares, $x^2 - (7y^{-1})^2$, which factors into $(x - 7y^{-1})(x + 7y^{-1})$. The denominator is already in the form $(x - 7y^{-1})(x + 7y^{-1})$. Thus, the expression simplifies to 1.

Perform the Indicated Operation and Write Your Answer with Positive x2−49y−2(x−7y−1)(x+7y−1)\frac { x ^ { 2 } - 49 y ^ { - 2 } } { \left( x - 7 y ^ { - 1 } \right) \left( x + 7 y ^ { - 1 } \right) }(x−7y−1)(x+7y−1)x2−49y−2​

Perform the Indicated Operation and Write Your Answer with Positive $\frac { x ^ { 2 } - 49 y ^ { - 2 } } { \left( x - 7 y ^ { - 1 } \right) \left( x + 7 y ^ { - 1 } \right) }$