Answer:
The answer is [tex]5x^{2} (x-3)[/tex].
Step-by-step explanation:
To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].
Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].
Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].
