Basic Math Examples

\frac{(1200 - 130 \cdot 3 - 16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}

$\frac{(1200 - 130 \cdot 3 - 16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of

(1200 - 130 \cdot 3 - 16 \cdot 3^{2}) - (1200 - 130 - 16)

$(1200 - 130 \cdot 3 - 16 \cdot 3^{2}) - (1200 - 130 - 16)$ and

2

$2$ .

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Step 1.1.1

Rewrite

1200

$1200$ as

- 1 (- 1200)

$- 1 (- 1200)$ .

\frac{- 1 (- 1200) - 130 \cdot 3 - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200) - 130 \cdot 3 - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}$

Step 1.1.2

Factor

- 1

$- 1$ out of

- 130 \cdot 3

$- 130 \cdot 3$ .

\frac{- 1 (- 1200) - (130 \cdot 3) - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200) - (130 \cdot 3) - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}$

Step 1.1.3

Factor

- 1

$- 1$ out of

- 1 (- 1200) - (130 \cdot 3)

$- 1 (- 1200) - (130 \cdot 3)$ .

\frac{- 1 (- 1200 + 130 \cdot 3) - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200 + 130 \cdot 3) - 16 \cdot 3^{2} - (1200 - 130 - 16)}{2}$

Step 1.1.4

Factor

- 1

$- 1$ out of

- 16 \cdot 3^{2}

$- 16 \cdot 3^{2}$ .

\frac{- 1 (- 1200 + 130 \cdot 3) - (16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200 + 130 \cdot 3) - (16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}$

Step 1.1.5

Factor

- 1

$- 1$ out of

- 1 (- 1200 + 130 \cdot 3) - (16 \cdot 3^{2})

$- 1 (- 1200 + 130 \cdot 3) - (16 \cdot 3^{2})$ .

\frac{- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2}) - (1200 - 130 - 16)}{2}$

Step 1.1.6

Factor

- 1

$- 1$ out of

- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2}) - (1200 - 130 - 16)

$- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2}) - (1200 - 130 - 16)$ .

\frac{- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2} + 1200 - 130 - 16)}{2}

$\frac{- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2} + 1200 - 130 - 16)}{2}$

Step 1.1.7

Factor

2

$2$ out of

- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2} + 1200 - 130 - 16)

$- 1 (- 1200 + 130 \cdot 3 + 16 \cdot 3^{2} + 1200 - 130 - 16)$ .

\frac{2 (- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8))}{2}

$\frac{2 (- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8))}{2}$

Step 1.1.8

Cancel the common factors.

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Step 1.1.8.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 (- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8))}{2 (1)}

$\frac{2 (- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8))}{2 (1)}$

Step 1.1.8.2

Cancel the common factor.

$\frac{2 (- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8))}{2 \cdot 1}$

Step 1.1.8.3

Rewrite the expression.

$\frac{- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)}{1}$

Step 1.1.8.4

Divide

$- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)$ by

$1$ .

$- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)$

Step 1.2

Rewrite

$- 1 (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)$ as

$- (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)$ .

$- (- 600 + 65 \cdot 3 + 8 \cdot 3^{2} + 600 - 65 - 8)$

Step 2

Simplify each term.

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Step 2.1

Multiply

$65$ by

$3$ .

$- (- 600 + 195 + 8 \cdot 3^{2} + 600 - 65 - 8)$

Step 2.2

Raise

$3$ to the power of

$2$ .

$- (- 600 + 195 + 8 \cdot 9 + 600 - 65 - 8)$

Step 2.3

Multiply

$8$ by

$9$ .

$- (- 600 + 195 + 72 + 600 - 65 - 8)$

Step 3

Simplify the expression.

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Step 3.1

Add

$- 600$ and

$195$ .

$- (- 405 + 72 + 600 - 65 - 8)$

Step 3.2

Add

$- 405$ and

$72$ .

$- (- 333 + 600 - 65 - 8)$

Step 3.3

Add

$- 333$ and

$600$ .

$- (267 - 65 - 8)$

Step 3.4

Subtract

$65$ from

$267$ .

$- (202 - 8)$

Step 3.5

Subtract

$8$ from

$202$ .

$- 1 \cdot 194$

Step 3.6

Multiply

$- 1$ by

$194$ .

$- 194$