Simplify: $\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 }$
A) $\frac { x - 3 } { x - 1 }$
B) $\frac { 9 } { 4 x + 3 }$
C) $\frac { x - 3 } { x + 1 }$
D) $\frac { x + 3 } { x - 1 }$

Question

Quizplus · Accepted Answer

We can factor both the numerator and denominator:
$\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 } = \frac {(x+3)(x-3)}{(x-3)(x-1)}=\frac{x+3}{x-1}$
Therefore, the best choice is D.

Simplify x2−9x2−4x+3\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 }x2−4x+3x2−9​

Simplify $\frac { x ^ { 2 } - 9 } { x ^ { 2 } - 4 x + 3 }$