Factor z^3-1

$z^{3} - 1$

Step 1

Rewrite $1$ as $1^{3}$ .

$z^{3} - 1^{3}$

Step 2

Since both terms are perfect cubes, factor using the difference of cubes formula, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where $a = z$ and $b = 1$ .

$(z - 1) (z^{2} + z \cdot 1 + 1^{2})$

Step 3

Simplify.

Multiply $z$ by $1$ .

$(z - 1) (z^{2} + z + 1^{2})$

One to any power is one.

$(z - 1) (z^{2} + z + 1)$

Factor z^3-1

Related Questions

Support LCMGCF.com by disabling your adblocker.