Algebra Examples

$- 3 z^{5} w^{2} - 18 z^{3} w^{4}$

Step 1

Reorder the expression.

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Step 1.1

Move $z^{5}$ .

$- 3 w^{2} z^{5} - 18 z^{3} w^{4}$

Step 1.2

Move $z^{3}$ .

$- 3 w^{2} z^{5} - 18 w^{4} z^{3}$

Step 1.3

Reorder $- 3 w^{2} z^{5}$ and $- 18 w^{4} z^{3}$ .

$- 18 w^{4} z^{3} - 3 w^{2} z^{5}$

Step 2

Factor $- 3 w^{2} z^{3}$ out of $- 18 w^{4} z^{3}$ .

$- 3 w^{2} z^{3} (6 w^{2}) - 3 w^{2} z^{5}$

Step 3

Factor $- 3 w^{2} z^{3}$ out of $- 3 w^{2} z^{5}$ .

$- 3 w^{2} z^{3} (6 w^{2}) - 3 w^{2} z^{3} (z^{2})$

Step 4

Factor $- 3 w^{2} z^{3}$ out of $- 3 w^{2} z^{3} (6 w^{2}) - 3 w^{2} z^{3} (z^{2})$ .

$- 3 w^{2} z^{3} (6 w^{2} + z^{2})$