Find the LCM.
-$m^{2}+2 m, m^{2}+7 m+10$
A) $m(m-3)^{2}$
B) $(m-3)^{2}$
C) $m(m+2)(m+5)$
D) $m(x-3)(m+5)$

Question

Quizplus · Accepted Answer

The LCM of two algebraic expressions is found by taking the product of the highest powers of all factors present in the expressions. First, factorize both expressions:1. $m^{2}+2m = m(m+2)$2. $m^{2}+7m+10 = (m+2)(m+5)$The factors are $m$, $m+2$, and $m+5$. The highest power of each is itself, so the LCM is $m(m+2)(m+5)$.

Find the LCM m2+2m,m2+7m+10m^{2}+2 m, m^{2}+7 m+10m2+2m,m2+7m+10 A) m(m−3)2m(m-3)^{2}m(m−3)2 B) (m−3)2(m-3)^{2}(m−3)2 C) m(m+2)(m+5)m(m+2)(m+5)m(m+2)(m+5) D) m(x−3)(m+5)m(x-3)(m+5)m(x−3)(m+5)

Find the LCM $m^{2}+2 m, m^{2}+7 m+10$ A) $m(m-3)^{2}$ B) $(m-3)^{2}$ C) $m(m+2)(m+5)$ D) $m(x-3)(m+5)$