Algebra Examples

$\frac{3 x^{2} - 15}{2 x^{2} - 10}$

Step 1

Factor $3$ out of $3 x^{2} - 15$ .

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Step 1.1

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

$\frac{3 (x^{2}) - 15}{2 x^{2} - 10}$

Step 1.2

Factor $3$ out of $- 15$ .

$\frac{3 x^{2} + 3 \cdot - 5}{2 x^{2} - 10}$

Step 1.3

Factor $3$ out of $3 x^{2} + 3 \cdot - 5$ .

$\frac{3 (x^{2} - 5)}{2 x^{2} - 10}$

$\frac{3 (x^{2} - 5)}{2 x^{2} - 10}$

Step 2

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

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Step 2.1

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

$\frac{3 (x^{2} - 5)}{2 (x^{2}) - 10}$

Step 2.2

Factor $2$ out of $- 10$ .

$\frac{3 (x^{2} - 5)}{2 x^{2} + 2 \cdot - 5}$

Step 2.3

Factor $2$ out of $2 x^{2} + 2 \cdot - 5$ .

$\frac{3 (x^{2} - 5)}{2 (x^{2} - 5)}$

$\frac{3 (x^{2} - 5)}{2 (x^{2} - 5)}$

Step 3

Cancel the common factor of $x^{2} - 5$ .

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Step 3.1

Cancel the common factor.

$\frac{3 (x^{2} - 5)}{2 (x^{2} - 5)}$

Step 3.2

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

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