Simplify (-3)(-3)-16÷(4-12)

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

Simplify each term.

Multiply $- 3$ by $- 3$ .

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

Rewrite the division as a fraction.

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

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

Factor $4$ out of $16$ .

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

Cancel the common factors.

Factor $4$ out of $4$ .

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

Factor $4$ out of $- 12$ .

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Subtract $3$ from $1$ .

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

Divide $4$ by $- 2$ .

$9 - - 2$

Multiply $- 1$ by $- 2$ .

$9 + 2$

$9 + 2$

Add $9$ and $2$ .

$11$

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