Pre-Algebra Examples

$\frac{8 x^{2} y^{3} - 10 x^{3} y}{2 x^{2} y}$

Step 1

Factor $2 x^{2} y$ out of $8 x^{2} y^{3} - 10 x^{3} y$ .

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Step 1.1

Factor $2 x^{2} y$ out of $8 x^{2} y^{3}$ .

$\frac{2 x^{2} y (4 y^{2}) - 10 x^{3} y}{2 x^{2} y}$

Step 1.2

Factor $2 x^{2} y$ out of $- 10 x^{3} y$ .

$\frac{2 x^{2} y (4 y^{2}) + 2 x^{2} y (- 5 x)}{2 x^{2} y}$

Step 1.3

Factor $2 x^{2} y$ out of $2 x^{2} y (4 y^{2}) + 2 x^{2} y (- 5 x)$ .

$\frac{2 x^{2} y (4 y^{2} - 5 x)}{2 x^{2} y}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{2 x^{2} y (4 y^{2} - 5 x)}{2 x^{2} y}$

Step 2.2

Rewrite the expression.

$\frac{x^{2} y (4 y^{2} - 5 x)}{x^{2} y}$

Step 3

Cancel the common factor of $x^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{x^{2} y (4 y^{2} - 5 x)}{x^{2} y}$

Step 3.2

Rewrite the expression.

$\frac{y (4 y^{2} - 5 x)}{y}$

Step 4

Cancel the common factor of $y$ .

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Step 4.1

Cancel the common factor.

$\frac{y (4 y^{2} - 5 x)}{y}$

Step 4.2

Divide $4 y^{2} - 5 x$ by $1$ .

$4 y^{2} - 5 x$