Perform the indicated operations involving rational expressions. Match each expression with the corresponding answer.
-$- \frac { x ^ { 3 } } { 56 y ^ { 2 } }$
A) $\frac { 3 x y } { 32 y ^ { 4 } } \cdot \frac { 4 x ^ { 3 } y } { - 21 x }$
B) $\frac { - 3 x y ^ { 4 } } { 4 y ^ { 2 } } \cdot \frac { 28 x ^ { 2 } y ^ { 3 } } { 24 y ^ { 2 } }$

Question

Perform the indicated operations involving rational expressions. Match each expression with the corresponding answer.
-$- \frac { x ^ { 3 } } { 56 y ^ { 2 } }$ 
A) $\frac { 3 x y } { 32 y ^ { 4 } } \cdot \frac { 4 x ^ { 3 } y } { - 21 x }$ 
B) $\frac { - 3 x y ^ { 4 } } { 4 y ^ { 2 } } \cdot \frac { 28 x ^ { 2 } y ^ { 3 } } { 24 y ^ { 2 } }$

Quizplus · Accepted Answer

Simplifying choice A: $\frac{3xy}{32y^4} \cdot \frac{4x^3y}{-21x} = \frac{3 \cdot 4 \cdot x \cdot x^3 \cdot y \cdot y}{32 \cdot 21 \cdot y^4 \cdot x} = \frac{12x^4y^2}{672y^4} = -\frac{x^4y^2}{56y^4} = -\frac{x^4}{56y^2}$, which is not the same as the given expression due to an error in simplification. Correct simplification should maintain the original expression's form, indicating a mistake in the provided solution process.

Perform the Indicated Operations Involving Rational Expressions −x356y2- \frac { x ^ { 3 } } { 56 y ^ { 2 } }−56y2x3​

Perform the Indicated Operations Involving Rational Expressions $- \frac { x ^ { 3 } } { 56 y ^ { 2 } }$