Trigonometry Examples

$\frac{12 x^{3} y^{3} - 60 x y + x^{2} y^{2}}{12 x y}$

Step 1

Factor $x y$ out of $12 x^{3} y^{3} - 60 x y + x^{2} y^{2}$ .

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Step 1.1

Factor $x y$ out of $12 x^{3} y^{3}$ .

$\frac{x y (12 x^{2} y^{2}) - 60 x y + x^{2} y^{2}}{12 x y}$

Step 1.2

Factor $x y$ out of $- 60 x y$ .

$\frac{x y (12 x^{2} y^{2}) + x y (- 60) + x^{2} y^{2}}{12 x y}$

Step 1.3

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

$\frac{x y (12 x^{2} y^{2}) + x y (- 60) + x y (x y)}{12 x y}$

Step 1.4

Factor $x y$ out of $x y (12 x^{2} y^{2}) + x y (- 60)$ .

$\frac{x y (12 x^{2} y^{2} - 60) + x y (x y)}{12 x y}$

Step 1.5

Factor $x y$ out of $x y (12 x^{2} y^{2} - 60) + x y (x y)$ .

$\frac{x y (12 x^{2} y^{2} - 60 + x y)}{12 x y}$

Step 2

Reduce the expression $\frac{x y (12 x^{2} y^{2} - 60 + x y)}{12 x y}$ by cancelling the common factors.

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Step 2.1

Cancel the common factor.

$\frac{x y (12 x^{2} y^{2} - 60 + x y)}{12 x y}$

Step 2.2

Rewrite the expression.

$\frac{y (12 x^{2} y^{2} - 60 + x y)}{12 y}$

Step 3

Reduce the expression $\frac{y (12 x^{2} y^{2} - 60 + x y)}{12 y}$ by cancelling the common factors.

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Step 3.1

Cancel the common factor.

$\frac{y (12 x^{2} y^{2} - 60 + x y)}{12 y}$

Step 3.2

Rewrite the expression.

$\frac{12 x^{2} y^{2} - 60 + x y}{12}$