Find the missing numerator and denominator.
-$$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$$
A) $\frac { 8 x + 64 } { x ^ { 2 } + 5 x - 50 }$

B) $\frac { x - 5 } { ( x - 8 ) ( x + 10 ) }$

C) $\frac { ( x - 8 ) ( x + 10 ) } { x - 5 }$

D) $\frac { 8 x - 64 } { x ^ { 2 } + 5 x - 50 }$

Question

Find the missing numerator and denominator.
-$$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$$
A) $\frac { 8 x + 64 } { x ^ { 2 } + 5 x - 50 }$

B) $\frac { x - 5 } { ( x - 8 ) ( x + 10 ) }$

C) $\frac { ( x - 8 ) ( x + 10 ) } { x - 5 }$

D) $\frac { 8 x - 64 } { x ^ { 2 } + 5 x - 50 }$

Quizplus · Accepted Answer

The correct answer is A because:$\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { 8 x + 64 } { x ^ { 2 } + 5 x - 50 } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$

Find the Missing Numerator and Denominator x2−64x2−10x+25÷??=(x−8)(x+10)8(x−5)\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }x2−10x+25x2−64​÷??​=8(x−5)(x−8)(x+10)​

Find the Missing Numerator and Denominator $\frac { x ^ { 2 } - 64 } { x ^ { 2 } - 10 x + 25 } \div \frac { ? } { ? } = \frac { ( x - 8 ) ( x + 10 ) } { 8 ( x - 5 ) }$