Find the LCD for the list of rational expressions.
-$\frac { 1 } { r ^ { 2 } + 8 r + 16 } , \frac { 1 } { r ^ { 2 } + 4 r }$
A)r(r + 1)(r + 4)
B)r(r + 4)
C) $( r + 4 ) ^ { 2 }$
D) $r ( r + 4 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The LCD of the given rational expressions is found by factoring each denominator and then taking the product of the highest power of each factor found in the denominators. The first denominator $r^2 + 8r + 16$ can be factored as $(r + 4)^2$, and the second denominator $r^2 + 4r$ can be factored as $r(r + 4)$. The LCD must include each factor in its highest power, which is $r$ and $(r + 4)^2$, making the LCD $r (r + 4)^2$.

Find the LCD for the List of Rational Expressions 1r2+8r+16,1r2+4r\frac { 1 } { r ^ { 2 } + 8 r + 16 } , \frac { 1 } { r ^ { 2 } + 4 r }r2+8r+161​,r2+4r1​

Find the LCD for the List of Rational Expressions $\frac { 1 } { r ^ { 2 } + 8 r + 16 } , \frac { 1 } { r ^ { 2 } + 4 r }$