Algebra Examples

$7 - 9 + {(9 - 5)}^{2} - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Step 1

Simplify each term.

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Step 1.1

Subtract $5$ from $9$ .

$7 - 9 + 4^{2} - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Step 1.2

Raise $4$ to the power of $2$ .

$7 - 9 + 16 - 4 \cdot \frac{2 + 4}{- 5 - 1} + 8 - 3 \cdot 100$

Step 1.3

Add $2$ and $4$ .

$7 - 9 + 16 - 4 \cdot \frac{6}{- 5 - 1} + 8 - 3 \cdot 100$

Step 1.4

Subtract $1$ from $- 5$ .

$7 - 9 + 16 - 4 \cdot \frac{6}{- 6} + 8 - 3 \cdot 100$

Step 1.5

Cancel the common factor of $2$ .

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Step 1.5.1

Factor $2$ out of $- 4$ .

$7 - 9 + 16 + 2 (- 2) \cdot \frac{6}{- 6} + 8 - 3 \cdot 100$

Step 1.5.2

Factor $2$ out of $- 6$ .

$7 - 9 + 16 + 2 \cdot - 2 \cdot \frac{6}{2 \cdot - 3} + 8 - 3 \cdot 100$

Step 1.5.3

Cancel the common factor.

$7 - 9 + 16 + 2 \cdot - 2 \cdot \frac{6}{2 \cdot - 3} + 8 - 3 \cdot 100$

Step 1.5.4

Rewrite the expression.

$7 - 9 + 16 - 2 \cdot \frac{6}{- 3} + 8 - 3 \cdot 100$

Step 1.6

Combine $- 2$ and $\frac{6}{- 3}$ .

$7 - 9 + 16 + \frac{- 2 \cdot 6}{- 3} + 8 - 3 \cdot 100$

Step 1.7

Multiply $- 2$ by $6$ .

$7 - 9 + 16 + \frac{- 12}{- 3} + 8 - 3 \cdot 100$

Step 1.8

Divide $- 12$ by $- 3$ .

$7 - 9 + 16 + 4 + 8 - 3 \cdot 100$

Step 1.9

Multiply $- 3$ by $100$ .

$7 - 9 + 16 + 4 + 8 - 300$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $9$ from $7$ .

$- 2 + 16 + 4 + 8 - 300$

Step 2.2

Add $- 2$ and $16$ .

$14 + 4 + 8 - 300$

Step 2.3

Add $14$ and $4$ .

$18 + 8 - 300$

Step 2.4

Add $18$ and $8$ .

$26 - 300$

Step 2.5

Subtract $300$ from $26$ .

$- 274$