Simplify the rational expression.
-$\frac { m ^ { 2 } - 10 m n + 24 n ^ { 2 } } { m ^ { 2 } - 8 m n + 16 n ^ { 2 } }$
A) $\frac { m - 6 n } { ( m - 4 n ) ^ { 2 } }$
B) $\frac { m - 4 n } { m - 6 n }$
C) $\frac { m - 6 n } { m - 4 n }$
D) $\frac { m - 6 } { m - 4 }$

Question

Quizplus · Accepted Answer

The numerator $m^2 - 10mn + 24n^2$ can be factored into $(m - 4n)(m - 6n)$, and the denominator $m^2 - 8mn + 16n^2$ can be factored into $(m - 4n)^2$. Simplifying the expression gives $\frac{m - 6n}{m - 4n}$.

Simplify the Rational Expression m2−10mn+24n2m2−8mn+16n2\frac { m ^ { 2 } - 10 m n + 24 n ^ { 2 } } { m ^ { 2 } - 8 m n + 16 n ^ { 2 } }m2−8mn+16n2m2−10mn+24n2​

Simplify the Rational Expression $\frac { m ^ { 2 } - 10 m n + 24 n ^ { 2 } } { m ^ { 2 } - 8 m n + 16 n ^ { 2 } }$