Trigonometry Examples

$\frac{2 x^{3} y^{3} + 8 x y + x^{2} y^{2}}{2 x y}$

Step 1

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

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Step 1.1

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

$\frac{x y (2 x^{2} y^{2}) + 8 x y + x^{2} y^{2}}{2 x y}$

Step 1.2

Factor $x y$ out of $8 x y$ .

$\frac{x y (2 x^{2} y^{2}) + x y (8) + x^{2} y^{2}}{2 x y}$

Step 1.3

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

$\frac{x y (2 x^{2} y^{2}) + x y (8) + x y (x y)}{2 x y}$

Step 1.4

Factor $x y$ out of $x y (2 x^{2} y^{2}) + x y (8)$ .

$\frac{x y (2 x^{2} y^{2} + 8) + x y (x y)}{2 x y}$

Step 1.5

Factor $x y$ out of $x y (2 x^{2} y^{2} + 8) + x y (x y)$ .

$\frac{x y (2 x^{2} y^{2} + 8 + x y)}{2 x y}$

Step 2

Cancel the common factor of $x$ .

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Step 2.1

Cancel the common factor.

$\frac{x y (2 x^{2} y^{2} + 8 + x y)}{2 x y}$

Step 2.2

Rewrite the expression.

$\frac{y (2 x^{2} y^{2} + 8 + x y)}{2 y}$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Cancel the common factor.

$\frac{y (2 x^{2} y^{2} + 8 + x y)}{2 y}$

Step 3.2

Rewrite the expression.

$\frac{2 x^{2} y^{2} + 8 + x y}{2}$