# How do you factor x^3-3x^2?

Jun 24, 2018

You can take out ${x}^{2}$ out of each term to get ${x}^{2} \left(x - 3\right)$.

#### Explanation:

If you're having a bit of difficulty visualizing this, here's a bit of help:
$\left({x}^{2} \cdot x\right) - \left({x}^{2} \cdot 3\right)$
${x}^{2} \left(x - 3\right)$

Jun 24, 2018

${x}^{3} - 3 {x}^{2} = {x}^{2} \left(x - 3\right)$

#### Explanation:

Factor:

${x}^{3} - 3 {x}^{2}$

The greatest factor that divides evenly into both terms is ${x}^{2}$. Factor out the greatest common factor ${x}^{2}$.

${x}^{2} \left(x - 3\right)$