Multiply.
-$\frac { 4 x + y } { - 4 x - 5 y } \cdot \frac { - 4 x ^ { 2 } - 9 x y - 5 y ^ { 2 } } { 4 x ^ { 2 } + 5 x y + y ^ { 2 } }$
A)1
B) $\frac { 1 x + y } { - 4 x + 5 y }$
C) $\frac { 4 x - y } { - 4 x - 5 y }$
D)-1

Question

Quizplus · Accepted Answer

The given expression simplifies to 1. This is because the numerator of the first fraction and the denominator of the second fraction are negatives of each other, as are the denominator of the first fraction and the numerator of the second fraction. When multiplied, the negatives cancel out, resulting in a product of 1.

Multiply - 4x+y−4x−5y⋅−4x2−9xy−5y24x2+5xy+y2\frac { 4 x + y } { - 4 x - 5 y } \cdot \frac { - 4 x ^ { 2 } - 9 x y - 5 y ^ { 2 } } { 4 x ^ { 2 } + 5 x y + y ^ { 2 } }−4x−5y4x+y​⋅4x2+5xy+y2−4x2−9xy−5y2​

Multiply
- $\frac { 4 x + y } { - 4 x - 5 y } \cdot \frac { - 4 x ^ { 2 } - 9 x y - 5 y ^ { 2 } } { 4 x ^ { 2 } + 5 x y + y ^ { 2 } }$