Simplify (3x^2-15)/(2x^2-10)

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

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

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

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

Factor $3$ out of $- 15$ .

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

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

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

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

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

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

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

Factor $2$ out of $- 10$ .

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

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{3}{2}$

$\frac{3}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$

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