Find the LCD of the given rational expressions.
-$$\frac { 1 } { x ^ { 2 } + 4 x + 4 } , \frac { x - 7 } { x ^ { 2 } + 2 x }$$
A) $( x + 2 ) ^ { 2 }$
B) $x ( x + 2 ) ^ { 2 }$
C) $x ( x + 2 )$
D) $x ( x + 1 ) ( x + 2 )$

Question

Quizplus · Accepted Answer

The LCD of two rational expressions is the least common multiple of their denominators. The first denominator $x^2 + 4x + 4$ can be factored as $(x + 2)^2$, and the second denominator $x^2 + 2x$ can be factored as $x(x + 2)$. The least common multiple of these two expressions is $x(x + 2)^2$, making choice B the correct answer.

Find the LCD of the Given Rational Expressions 1x2+4x+4,x−7x2+2x\frac { 1 } { x ^ { 2 } + 4 x + 4 } , \frac { x - 7 } { x ^ { 2 } + 2 x }x2+4x+41​,x2+2xx−7​

Find the LCD of the Given Rational Expressions $\frac { 1 } { x ^ { 2 } + 4 x + 4 } , \frac { x - 7 } { x ^ { 2 } + 2 x }$