Algebra Examples

$12 x^{2} y^{4} - 3 x y^{5} + 9 x^{3} y^{2}$

Step 1

Factor $3 x y^{2}$ out of $12 x^{2} y^{4} - 3 x y^{5} + 9 x^{3} y^{2}$ .

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Step 1.1

Factor $3 x y^{2}$ out of $12 x^{2} y^{4}$ .

$3 x y^{2} (4 x y^{2}) - 3 x y^{5} + 9 x^{3} y^{2}$

Step 1.2

Factor $3 x y^{2}$ out of $- 3 x y^{5}$ .

$3 x y^{2} (4 x y^{2}) + 3 x y^{2} (- 1 y^{3}) + 9 x^{3} y^{2}$

Step 1.3

Factor $3 x y^{2}$ out of $9 x^{3} y^{2}$ .

$3 x y^{2} (4 x y^{2}) + 3 x y^{2} (- 1 y^{3}) + 3 x y^{2} (3 x^{2})$

Step 1.4

Factor $3 x y^{2}$ out of $3 x y^{2} (4 x y^{2}) + 3 x y^{2} (- 1 y^{3})$ .

$3 x y^{2} (4 x y^{2} - 1 y^{3}) + 3 x y^{2} (3 x^{2})$

Step 1.5

Factor $3 x y^{2}$ out of $3 x y^{2} (4 x y^{2} - 1 y^{3}) + 3 x y^{2} (3 x^{2})$ .

$3 x y^{2} (4 x y^{2} - 1 y^{3} + 3 x^{2})$

Step 2

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

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