Algebra Examples

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

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{3}{2}$ .

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

Step 1.2

Raise $3$ to the power of $2$ .

$- 2 \frac{9}{2^{2}}$

Step 1.3

Raise $2$ to the power of $2$ .

$- 2 (\frac{9}{4})$

$- 2 (\frac{9}{4})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{9}{4}$

Step 2.2

Factor $2$ out of $4$ .

$2 \cdot - 1 \frac{9}{2 \cdot 2}$

Step 2.3

Cancel the common factor.

$2 \cdot - 1 \frac{9}{2 \cdot 2}$

Step 2.4

Rewrite the expression.

$- 1 (\frac{9}{2})$

$- 1 (\frac{9}{2})$

Step 3

Rewrite $- 1 (\frac{9}{2})$ as $- (\frac{9}{2})$ .

$- \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{2}$

Decimal Form:

$- 4.5$

Mixed Number Form:

$- 4 \frac{1}{2}$

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