Question

question #20 which of the following factors will be included in the least common denominator of the rational expressions? select all that apply. $\frac{2x}{x^{2}+5x}$ and $\frac{3}{4x + 20}$ $square x + 5$ $square 4$ $square x$ $square 2x$

Explanation:

Step1: Factor the denominators

Factor $x^{2}+5x$ as $x(x + 5)$ and $4x + 20$ as $4(x + 5)$.

Step2: Find the LCM of the denominators

The LCM of $x(x + 5)$ and $4(x + 5)$ is $4x(x + 5)$. The factors of the LCM are $4$, $x$ and $x + 5$.

Answer:

x + 5, 4, x