Basic Math Examples

\frac{12}{(2^{2} + 3) \cdot (- 2)}

$\frac{12}{(2^{2} + 3) \cdot (- 2)}$

Step 1

Cancel the common factor of

12

$12$ and

- 2

$- 2$ .

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Step 1.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 (6)}{(2^{2} + 3) \cdot (- 2)}

$\frac{2 (6)}{(2^{2} + 3) \cdot (- 2)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

2

$2$ out of

(2^{2} + 3) \cdot (- 2)

$(2^{2} + 3) \cdot (- 2)$ .

\frac{2 (6)}{2 ((2^{2} + 3) \cdot (- 1))}

$\frac{2 (6)}{2 ((2^{2} + 3) \cdot (- 1))}$

Step 1.2.2

Cancel the common factor.

$\frac{2 \cdot 6}{2 ((2^{2} + 3) \cdot (- 1))}$

Step 1.2.3

Rewrite the expression.

$\frac{6}{(2^{2} + 3) \cdot (- 1)}$

$\frac{6}{(2^{2} + 3) \cdot (- 1)}$

$\frac{6}{(2^{2} + 3) \cdot (- 1)}$

Step 2

Simplify the denominator.

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Step 2.1

Raise

$2$ to the power of

$2$ .

$\frac{6}{(4 + 3) \cdot - 1}$

Step 2.2

Add

$4$ and

$3$ .

$\frac{6}{7 \cdot - 1}$

$\frac{6}{7 \cdot - 1}$

Step 3

Simplify the expression.

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Step 3.1

Multiply

$7$ by

$- 1$ .

$\frac{6}{- 7}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{6}{7}$

$- \frac{6}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{6}{7}$

Decimal Form:

$- 0.\overline{857142}$

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