Algebra Examples

$24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$

Step 1

The polynomial cannot be factored using the grouping method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the grouping method.

Step 2

Factor $2 x y^{2}$ out of $24 x^{2} y^{2} + 18 x y^{4} - 2 x y^{3}$ .

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Step 2.1

Factor $2 x y^{2}$ out of $24 x^{2} y^{2}$ .

$2 x y^{2} (12 x) + 18 x y^{4} - 2 x y^{3}$

Step 2.2

Factor $2 x y^{2}$ out of $18 x y^{4}$ .

$2 x y^{2} (12 x) + 2 x y^{2} (9 y^{2}) - 2 x y^{3}$

Step 2.3

Factor $2 x y^{2}$ out of $- 2 x y^{3}$ .

$2 x y^{2} (12 x) + 2 x y^{2} (9 y^{2}) + 2 x y^{2} (- 1 y)$

Step 2.4

Factor $2 x y^{2}$ out of $2 x y^{2} (12 x) + 2 x y^{2} (9 y^{2})$ .

$2 x y^{2} (12 x + 9 y^{2}) + 2 x y^{2} (- 1 y)$

Step 2.5

Factor $2 x y^{2}$ out of $2 x y^{2} (12 x + 9 y^{2}) + 2 x y^{2} (- 1 y)$ .

$2 x y^{2} (12 x + 9 y^{2} - 1 y)$

Step 3

Rewrite $- 1 y$ as $- y$ .

$2 x y^{2} (12 x + 9 y^{2} - y)$