Multiply.
-$\frac { 1 } { x + 8 } \cdot \frac { x ^ { 2 } + 18 x + 80 } { x + 10 }$
A)1
B) $\frac { x - 10 } { x + 8 }$
C)x + 8
D) $\frac { x - 8 } { x + 10 }$

Name: Multiply. -$\frac { 1 } { x + 8 } \cdot \frac { x ^ { 2 } + 18 x + 80 } { x + 10 }$ A)1 B) $\frac { x - 10 } { x + 8 }$ C)x + 8 D) $\frac { x - 8 } { x + 10 }$
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Question

Quizplus · Accepted Answer

The expression simplifies to 1 because the numerator $x^2 + 18x + 80$ can be factored into $(x + 8)(x + 10)$, which cancels out with the denominator $(x + 8)(x + 10)$, leaving 1.

Multiply - 1x+8⋅x2+18x+80x+10\frac { 1 } { x + 8 } \cdot \frac { x ^ { 2 } + 18 x + 80 } { x + 10 }x+81​⋅x+10x2+18x+80​

Multiply
- $\frac { 1 } { x + 8 } \cdot \frac { x ^ { 2 } + 18 x + 80 } { x + 10 }$