Basic Math Examples

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

Step 1

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 1.1

Cancel the common factor of $(1200 - 130 \cdot 3 - 16 \cdot 3^{2}) - (1200 - 130 - 16)$ and $2$ .

Tap for more steps...

Step 1.1.1

Rewrite $1200$ as $- 1 (- 1200)$ .

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

Step 1.1.2

Factor $- 1$ out of $- 130 \cdot 3$ .

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

Step 1.1.3

Factor $- 1$ out of $- 1 (- 1200) - (130 \cdot 3)$ .

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

Step 1.1.4

Factor $- 1$ out of $- 16 \cdot 3^{2}$ .

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

Step 1.1.5

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

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

Step 1.1.6

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

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

Step 1.1.7

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

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

Step 1.1.8

Cancel the common factors.

Tap for more steps...

Step 1.1.8.1

Factor $2$ out of $2$ .

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

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.

Tap for more steps...

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.

Tap for more steps...

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 $194$ .

$- 194$