Find the least common denominator of the rational expressions.
-$\frac { 1 } { - 3 x }$ and $\frac { 2 } { x ^ { 2 } + 7 x }$
A) $- 3 x ( x + 7 )$
B) $- 3 x + 7$
C) $- 3 x ^ { 2 } + 2$
D) $- 3 x ^ { 2 } + 7$

Question

Quizplus · Accepted Answer

The least common denominator (LCD) of the given rational expressions is the least common multiple (LCM) of their denominators. The first denominator is $-3x$, and the second can be factored as $x(x + 7)$. The LCM of these denominators, considering both the unique factors and their highest powers, is $-3x(x + 7)$, which matches option A.

Find the Least Common Denominator of the Rational Expressions 1−3x\frac { 1 } { - 3 x }−3x1​

Find the Least Common Denominator of the Rational Expressions $\frac { 1 } { - 3 x }$