Find the least common denominator for the group of denominators.
-$2 a+14, a^{2}+7 a$

A) $2 a^{2}+7$
B) $2 \mathrm{a}+7$
C) $2 a(a+7)$
D) $2 a^{2}+14$

Question

Find the least common denominator for the group of denominators.
-$2 a+14, a^{2}+7 a$

A) $2 a^{2}+7$
B) $2 \mathrm{a}+7$
C) $2 a(a+7)$
D) $2 a^{2}+14$

Quizplus · Accepted Answer

The least common denominator (LCD) is found by factoring each denominator and then taking the product of the highest power of all the factors present. The first denominator, $2a+14$, can be factored as $2(a+7)$. The second denominator, $a^2+7a$, can be factored as $a(a+7)$. The highest power of $a$ present is $a$ itself, and the factor $a+7$ is common to both, so the LCD is $2a(a+7)$, which matches choice C.

Find the Least Common Denominator for the Group of Denominators 2a+14,a2+7a2 a+14, a^{2}+7 a2a+14,a2+7a

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