Pre-Algebra Examples

$3 x^{2} + 6 x^{2} y - 9 x^{2}$

Step 1

Subtract $9 x^{2}$ from $3 x^{2}$ .

$- 6 x^{2} + 6 x^{2} y$

Step 2

Factor $- 6 x^{2}$ out of $- 6 x^{2} + 6 x^{2} y$ .

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Step 2.1

Reorder $- 6 x^{2}$ and $6 x^{2} y$ .

$6 x^{2} y - 6 x^{2}$

Step 2.2

Factor $- 6 x^{2}$ out of $6 x^{2} y$ .

$- 6 x^{2} (- 1 y) - 6 x^{2}$

Step 2.3

Factor $- 6 x^{2}$ out of $- 6 x^{2}$ .

$- 6 x^{2} (- 1 y) - 6 x^{2} (1)$

Step 2.4

Factor $- 6 x^{2}$ out of $- 6 x^{2} (- 1 y) - 6 x^{2} (1)$ .

$- 6 x^{2} (- 1 y + 1)$

Step 3

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

$- 6 x^{2} (- y + 1)$

Step 4

Factor.

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Step 4.1

Factor $- 1$ out of $- y + 1$ .

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Step 4.1.1

Factor $- 1$ out of $- y$ .

$- 6 x^{2} (- (y) + 1)$

Step 4.1.2

Rewrite $1$ as $- 1 (- 1)$ .

$- 6 x^{2} (- (y) - 1 (- 1))$

Step 4.1.3

Factor $- 1$ out of $- (y) - 1 (- 1)$ .

$- 6 x^{2} (- (y - 1))$

Step 4.2

Remove unnecessary parentheses.

$- 6 x^{2} \cdot - 1 (y - 1)$

Step 5

Combine exponents.

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Step 5.1

Factor out negative.

$- (- 6 x^{2} (y - 1))$

Step 5.2

Multiply $- 6$ by $- 1$ .

$6 (x^{2} (y - 1))$

Step 6

Remove unnecessary parentheses.

$6 x^{2} (y - 1)$