Factor x^4+64x - Math online

$x^{4} + 64 x$

Factor $x$ out of $x^{4} + 64 x$ .

Tap for more steps…

Factor $x$ out of $x^{4}$ .

$x \cdot x^{3} + 64 x$

Factor $x$ out of $64 x$ .

$x \cdot x^{3} + x \cdot 64$

Factor $x$ out of $x \cdot x^{3} + x \cdot 64$ .

$x (x^{3} + 64)$

Rewrite $64$ as $4^{3}$ .

$x (x^{3} + 4^{3})$

Since both terms are perfect cubes, factor using the sum of cubes formula, $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ where $a = x$ and $b = 4$ .

$x ((x + 4) (x^{2} - x \cdot 4 + 4^{2}))$

Factor.

Tap for more steps…

Simplify.

Tap for more steps…

Multiply $4$ by $- 1$ .

$x ((x + 4) (x^{2} - 4 x + 4^{2}))$

Raise $4$ to the power of $2$ .

$x ((x + 4) (x^{2} - 4 x + 16))$

Remove unnecessary parentheses.

$x (x + 4) (x^{2} - 4 x + 16)$

Factor x^4+64x

Do you need help with math?

Try our mobile app

Our MATH EXPERTS

JackHudson

Charlie Trom

Lucy Evel