# How do you find the quotient of (a^3-4a^2)div(a-4)?

Mar 9, 2017

See the entire solution process below:

#### Explanation:

First, we write this expression as:

$\frac{{a}^{3} - 4 {a}^{2}}{\left(a - 4\right)}$

Next, factor the numerator as:

$\frac{{a}^{2} \left(a - 4\right)}{\left(a - 4\right)}$

Now, cancel the common term in the numerator and denominator:

$\frac{{a}^{2} \textcolor{red}{\cancel{\textcolor{b l a c k}{\left(a - 4\right)}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{\left(a - 4\right)}}}} \to$

${a}^{2}$: Where $a - 4 \ne$ or $a \ne 4$