Algebra Examples

$4 x^{2} y + 8 x^{2} - 12 x^{4} y$

Step 1

Factor $- 4 x^{2}$ out of $4 x^{2} y + 8 x^{2} - 12 x^{4} y$ .

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Step 1.1

Reorder the expression.

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Step 1.1.1

Move $8 x^{2}$ .

$4 x^{2} y - 12 x^{4} y + 8 x^{2}$

Step 1.1.2

Reorder $4 x^{2} y$ and $- 12 x^{4} y$ .

$- 12 x^{4} y + 4 x^{2} y + 8 x^{2}$

Step 1.2

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

$- 4 x^{2} (3 x^{2} y) + 4 x^{2} y + 8 x^{2}$

Step 1.3

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

$- 4 x^{2} (3 x^{2} y) - 4 x^{2} (- 1 y) + 8 x^{2}$

Step 1.4

Factor $- 4 x^{2}$ out of $8 x^{2}$ .

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

Step 1.5

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

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

Step 1.6

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

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

Step 2

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

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