Algebra Examples

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

Step 1

Factor $3 x y$ out of $3 x^{2} y + 6 x y - 9 x^{2} y^{2}$ .

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Step 1.1

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

$\frac{3 x y (x) + 6 x y - 9 x^{2} y^{2}}{3 x y}$

Step 1.2

Factor $3 x y$ out of $6 x y$ .

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

Step 1.3

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

$\frac{3 x y (x) + 3 x y (2) + 3 x y (- 3 x y)}{3 x y}$

Step 1.4

Factor $3 x y$ out of $3 x y (x) + 3 x y (2)$ .

$\frac{3 x y (x + 2) + 3 x y (- 3 x y)}{3 x y}$

Step 1.5

Factor $3 x y$ out of $3 x y (x + 2) + 3 x y (- 3 x y)$ .

$\frac{3 x y (x + 2 - 3 x y)}{3 x y}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$\frac{3 x y (x + 2 - 3 x y)}{3 x y}$

Step 2.2

Rewrite the expression.

$\frac{x y (x + 2 - 3 x y)}{x y}$

Step 3

Cancel the common factor of $x$ .

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Step 3.1

Cancel the common factor.

$\frac{x y (x + 2 - 3 x y)}{x y}$

Step 3.2

Rewrite the expression.

$\frac{y (x + 2 - 3 x y)}{y}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

$\frac{y (x + 2 - 3 x y)}{y}$

Step 4.2

Divide $x + 2 - 3 x y$ by $1$ .

$x + 2 - 3 x y$