Write the expression in lowest terms.
-$$\frac { x ^ { 2 } + 4 x - 5 } { x ^ { 2 } - 4 x + 3 }$$
A) $\frac { x + 5 } { x - 3 }$

B) $\frac { x + 6 } { x - 2 }$

C) $\frac { x - 5 } { x + 3 }$

D) $\frac { x - 1 } { x + 1 }$

Question

Write the expression in lowest terms.
-$$\frac { x ^ { 2 } + 4 x - 5 } { x ^ { 2 } - 4 x + 3 }$$
A) $\frac { x + 5 } { x - 3 }$

B) $\frac { x + 6 } { x - 2 }$

C) $\frac { x - 5 } { x + 3 }$

D) $\frac { x - 1 } { x + 1 }$

Quizplus · Accepted Answer

To simplify the given expression, factor both the numerator and the denominator. The numerator $x^2 + 4x - 5$ factors into $(x + 5)(x - 1)$, and the denominator $x^2 - 4x + 3$ factors into $(x - 3)(x - 1)$. Canceling the common factor $(x - 1)$ from both the numerator and the denominator gives $\frac{x + 5}{x - 3}$, which matches choice A.

Write the Expression in Lowest Terms x2+4x−5x2−4x+3\frac { x ^ { 2 } + 4 x - 5 } { x ^ { 2 } - 4 x + 3 }x2−4x+3x2+4x−5​

Write the Expression in Lowest Terms $\frac { x ^ { 2 } + 4 x - 5 } { x ^ { 2 } - 4 x + 3 }$