Find the LCM.
-$$r ^ { 2 } + 16 r + 64 , r ^ { 2 } + 8 r$$
A) $r ( r + 8 )$
B) $r ( r + 1 ) ( r + 8 )$
C) $( r + 8 ) ^ { 2 }$
D) $r ( r + 8 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The LCM of $r^2 + 16r + 64$ and $r^2 + 8r$ is $r(r + 8)^2$. Factoring the first expression gives $(r + 8)^2$ and the second gives $r(r + 8)$. The LCM must include all factors at their highest powers, hence $r(r + 8)^2$.

Find the LCM r2+16r+64,r2+8rr ^ { 2 } + 16 r + 64 , r ^ { 2 } + 8 rr2+16r+64,r2+8r

Find the LCM $r ^ { 2 } + 16 r + 64 , r ^ { 2 } + 8 r$