# How do you simplify  x^3 + x^4 ?

Jun 15, 2018

See a solution process below:

#### Explanation:

First, rewrite each term as:

$\left(\textcolor{red}{{x}^{3}} \times 1\right) + \left(\textcolor{red}{{x}^{3}} \times x\right)$

Now, factor out the common term:

$\textcolor{red}{{x}^{3}} \left(1 + x\right)$

Or

$\textcolor{red}{{x}^{3}} \left(x + 1\right)$

Jun 15, 2018

Hmm...

#### Explanation:

We can't really simplify this equation anymore, as adding it just gives out the same result: ${x}^{3} + {x}^{4}$.

However, we can factor this expression, and the highest common factor is ${x}^{3}$, and so we get:

$= {x}^{3} \left(x + 1\right)$

or

$= {x}^{3} \left(1 + x\right)$