Calculus Examples

$\frac{4 y^{2} - 6 y - 2}{2 y - 2}$

Step 1

Factor $2$ out of $4 y^{2}$ .

$\frac{2 (2 y^{2}) - 6 y - 2}{2 y - 2}$

Step 2

Factor $2$ out of $- 6 y$ .

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

Step 3

Factor $2$ out of $2 (2 y^{2}) + 2 (- 3 y)$ .

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

Step 4

Factor $2$ out of $- 2$ .

$\frac{2 (2 y^{2} - 3 y) + 2 (- 1)}{2 y - 2}$

Step 5

Factor $2$ out of $2 (2 y^{2} - 3 y) + 2 (- 1)$ .

$\frac{2 (2 y^{2} - 3 y - 1)}{2 y - 2}$

Step 6

Cancel the common factors.

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Step 6.1

Factor $2$ out of $2 y$ .

$\frac{2 (2 y^{2} - 3 y - 1)}{2 (y) - 2}$

Step 6.2

Factor $2$ out of $- 2$ .

$\frac{2 (2 y^{2} - 3 y - 1)}{2 (y) + 2 (- 1)}$

Step 6.3

Factor $2$ out of $2 (y) + 2 (- 1)$ .

$\frac{2 (2 y^{2} - 3 y - 1)}{2 (y - 1)}$

Step 6.4

Cancel the common factor.

$\frac{2 (2 y^{2} - 3 y - 1)}{2 (y - 1)}$

Step 6.5

Rewrite the expression.

$\frac{2 y^{2} - 3 y - 1}{y - 1}$

$\frac{2 y^{2} - 3 y - 1}{y - 1}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$