Find the least common denominator (LCD).
-$\frac { 9 } { 6 x + 48 } , \frac { 8 } { x ^ { 2 } + 8 x }$
A) $6 x ^ { 2 } + 48$
B) $6 x + 8$
C) $6 x ^ { 2 } + 8$
D) $6 x ( x + 8 )$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) must account for all factors present in the denominators of both fractions. The first denominator, $6x + 48$, can be factored as $6(x + 8)$. The second denominator, $x^2 + 8x$, can be factored as $x(x + 8)$. The LCD must include both the $6$ and $x$ factors, as well as the common $x + 8$ term, making it $6x(x + 8)$, which is option D.

Find the Least Common Denominator (LCD) 96x+48,8x2+8x\frac { 9 } { 6 x + 48 } , \frac { 8 } { x ^ { 2 } + 8 x }6x+489​,x2+8x8​

Find the Least Common Denominator (LCD) $\frac { 9 } { 6 x + 48 } , \frac { 8 } { x ^ { 2 } + 8 x }$