factor $5e^{2}-7e^{3}$.

QUESTION IMAGE

$factor $5e^{2}-7e^{3}$.$

Question

factor $5e^{2}-7e^{3}$.

Explanation:

Step1: Identify the GCF

The terms are $5e^2$ and $-7e^3$. The greatest common factor (GCF) of the coefficients $5$ and $7$ is $1$, and the GCF of the variable parts $e^2$ and $e^3$ is $e^2$. So the GCF is $e^2$.

Step2: Factor out the GCF

Factor $e^2$ from $5e^2 - 7e^3$:
$5e^2 - 7e^3 = e^2(5 - 7e)$

Answer:

$e^2(5 - 7e)$