Question

17
factor by gcf
$25x^2 - 100x$
$5x(5x-20)$
$x(25x-100)$
$25x(x-4)$
$25(x^2-4x)$

Explanation:

Step1: Find GCF of terms

The terms are $25x^2$ and $100x$.
GCF of 25 and 100 is 25; GCF of $x^2$ and $x$ is $x$.
Overall GCF: $25x$

Step2: Factor out the GCF

Divide each term by $25x$:
$\frac{25x^2}{25x} = x$, $\frac{-100x}{25x} = -4$
Rewrite expression: $25x(x - 4)$

Answer:

$25x(x-4)$