Divide. Simplify if possible.
-$\frac { 24 x ^ { 4 } } { x ^ { 2 } - 1 } \div \frac { x ^ { 6 } } { ( x + 1 ) ^ { 2 } }$
A) $\frac { 24 x ^ { 24 } } { ( x - 1 ) ( x + 1 ) ^ { 3 } }$
B) $\frac { 4 ( x + 1 ) } { x ^ { 2 } ( x - 1 ) }$
C) $\frac { 24 ( x + 1 ) } { x ^ { 2 } ( x - 1 ) }$
D) $\frac { 24 x ^ { 2 } ( x + 1 ) } { ( x - 1 ) }$

Question

Quizplus · Accepted Answer

To divide fractions, multiply by the reciprocal. Simplify $\frac { 24 x ^ { 4 } } { x ^ { 2 } - 1 } \times \frac { ( x + 1 ) ^ { 2 } } { x ^ { 6 } }$. Factor $x^2 - 1$ as $(x-1)(x+1)$. The expression simplifies to $\frac { 24 x ^ { 4 } ( x + 1 ) ^ { 2 } } { ( x - 1 ) ( x + 1 ) x ^ { 6 } }$, which further simplifies to $\frac { 24 ( x + 1 ) } { x ^ { 2 } ( x - 1 ) }$.

Divide Simplify If Possible 24x4x2−1÷x6(x+1)2\frac { 24 x ^ { 4 } } { x ^ { 2 } - 1 } \div \frac { x ^ { 6 } } { ( x + 1 ) ^ { 2 } }x2−124x4​÷(x+1)2x6​

Divide Simplify If Possible $\frac { 24 x ^ { 4 } } { x ^ { 2 } - 1 } \div \frac { x ^ { 6 } } { ( x + 1 ) ^ { 2 } }$