Simplify.
-$$\frac { ( 7 x - 5 ) ^ { 2 } } { 7 x ^ { 2 } - 61 x + 40 }$$
A) $7 x - 5$
B) $\frac { ( 7 x - 5 ) ^ { 2 } } { ( x - 8 ) ( 7 x + 5 ) }$
C) $\frac { 1 } { x - 8 }$
D) $\frac { 7 x - 5 } { x - 8 }$

Question

Quizplus · Accepted Answer

The denominator $7x^2 - 61x + 40$ can be factored into $(7x - 5)(x - 8)$. Thus, the expression simplifies to $\frac{(7x - 5)^2}{(7x - 5)(x - 8)}$, which further simplifies to $\frac{7x - 5}{x - 8}$ by canceling out one $(7x - 5)$ term from the numerator and denominator.

Simplify - (7x−5)27x2−61x+40\frac { ( 7 x - 5 ) ^ { 2 } } { 7 x ^ { 2 } - 61 x + 40 }7x2−61x+40(7x−5)2​

Simplify
- $\frac { ( 7 x - 5 ) ^ { 2 } } { 7 x ^ { 2 } - 61 x + 40 }$