Algebra Examples

$(- 3) (- 3) - 16 \div (4 - 12)$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 3$ by $- 3$ .

$9 - 16 \div (4 - 12)$

Step 1.2

Rewrite the division as a fraction.

$9 - \frac{16}{4 - 12}$

Step 1.3

Cancel the common factor of $16$ and $4 - 12$ .

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Step 1.3.1

Factor $4$ out of $16$ .

$9 - \frac{4 \cdot 4}{4 - 12}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $4$ out of $4$ .

$9 - \frac{4 \cdot 4}{4 (1) - 12}$

Step 1.3.2.2

Factor $4$ out of $- 12$ .

$9 - \frac{4 \cdot 4}{4 \cdot 1 + 4 \cdot - 3}$

Step 1.3.2.3

Factor $4$ out of $4 \cdot 1 + 4 \cdot - 3$ .

$9 - \frac{4 \cdot 4}{4 \cdot (1 - 3)}$

Step 1.3.2.4

Cancel the common factor.

$9 - \frac{4 \cdot 4}{4 \cdot (1 - 3)}$

Step 1.3.2.5

Rewrite the expression.

$9 - \frac{4}{1 - 3}$

$9 - \frac{4}{1 - 3}$

$9 - \frac{4}{1 - 3}$

Step 1.4

Subtract $3$ from $1$ .

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

Step 1.5

Divide $4$ by $- 2$ .

$9 - - 2$

Step 1.6

Multiply $- 1$ by $- 2$ .

$9 + 2$

$9 + 2$

Step 2

Add $9$ and $2$ .

$11$

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