Find the least common denominator.
-$\frac { 5 } { x ^ { 2 } + 2 x - 3 } + \frac { 4 } { - 2 x + 2 }$
A)-2(x + 3)(x + 1)
B)-2(x - 3)(x - 1)
C)-2(x + 3)(x - 1)
D)-2(x - 3)(x + 1)

Question

Quizplus · Accepted Answer

The least common denominator (LCD) is found by factoring each denominator and then taking the product of the highest power of each factor found. The first denominator $x^2 + 2x - 3$ factors into $(x + 3)(x - 1)$, and the second denominator $-2x + 2$ can be factored as $-2(x - 1)$. The LCD is thus $-2(x + 3)(x - 1)$, which matches choice C.

Find the Least Common Denominator 5x2+2x−3+4−2x+2\frac { 5 } { x ^ { 2 } + 2 x - 3 } + \frac { 4 } { - 2 x + 2 }x2+2x−35​+−2x+24​

Find the Least Common Denominator $\frac { 5 } { x ^ { 2 } + 2 x - 3 } + \frac { 4 } { - 2 x + 2 }$