Algebra Examples

$\frac{2 {(- x)}^{2} - 1}{{(- x)}^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the product rule to

$- x$ .

$\frac{2 ({(- 1)}^{2} x^{2}) - 1}{{(- x)}^{2}}$

Step 1.2

Raise

$- 1$ to the power of

$2$ .

$\frac{2 (1 x^{2}) - 1}{{(- x)}^{2}}$

Step 1.3

Multiply

$x^{2}$ by

$1$ .

$\frac{2 x^{2} - 1}{{(- x)}^{2}}$

$\frac{2 x^{2} - 1}{{(- x)}^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to

$- x$ .

$\frac{2 x^{2} - 1}{{(- 1)}^{2} x^{2}}$

Step 2.2

Raise

$- 1$ to the power of

$2$ .

$\frac{2 x^{2} - 1}{1 x^{2}}$

Step 2.3

Multiply

$x^{2}$ by

$1$ .

$\frac{2 x^{2} - 1}{x^{2}}$

$\frac{2 x^{2} - 1}{x^{2}}$

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