Find the LCD of the given rational expressions.
-$$\frac { 8 } { 9 x + 36 } , \frac { 3 } { x ^ { 2 } + 4 x }$$
A) $9 x ( x + 4 )$
B) $9 x + 4$
C) $9 x ^ { 2 } + 36$
D) $9 x ^ { 2 } + 4$

Question

Quizplus · Accepted Answer

The prime factorization of the denominators is:
\begin{align*}
9x+36&=9(x+4)\
x^2+4x&=x(x+4)
\end{align*}
The LCD needs to include both factors of $x+4$ and the highest power of $x$ which is $x^2$. Thus, the LCD is $9x(x+4)$.

Find the LCD of the Given Rational Expressions 89x+36,3x2+4x\frac { 8 } { 9 x + 36 } , \frac { 3 } { x ^ { 2 } + 4 x }9x+368​,x2+4x3​

Find the LCD of the Given Rational Expressions $\frac { 8 } { 9 x + 36 } , \frac { 3 } { x ^ { 2 } + 4 x }$