Find the LCD for the list of rational expressions.
-$\frac { 5 } { m ^ { 2 } + 2 m } , \frac { 5 } { m ^ { 2 } - 4 m - 12 }$
A)m(m + 8)(m - 6)
B)m(m + 2)(m - 6)
C) $( m + 8 ) ^ { 2 }$
D) $m ( m + 8 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The LCD of two rational expressions is the least common multiple of their denominators. Factor each denominator:1. $m^2 + 2m = m(m + 2)$2. $m^2 - 4m - 12 = (m + 2)(m - 6)$The least common multiple (LCM) of these two expressions is $m(m + 2)(m - 6)$, which matches choice B.

Find the LCD for the List of Rational Expressions 5m2+2m,5m2−4m−12\frac { 5 } { m ^ { 2 } + 2 m } , \frac { 5 } { m ^ { 2 } - 4 m - 12 }m2+2m5​,m2−4m−125​

Find the LCD for the List of Rational Expressions $\frac { 5 } { m ^ { 2 } + 2 m } , \frac { 5 } { m ^ { 2 } - 4 m - 12 }$