Basic Math Examples

$(- 8 c^{3} \cdot (7 c^{2}) + 4) - (- 4 c^{2} + 4 c - 6)$

Step 1

Remove parentheses.

$- 8 c^{3} \cdot (7 c^{2}) + 4 - (- 4 c^{2} + 4 c - 6)$

Step 2

Factor $- 1$ out of $- 8 c^{3} \cdot (7 c^{2}) + 4 - (- 4 c^{2} + 4 c - 6)$ .

Tap for more steps...

Step 2.1

Reorder the expression.

Tap for more steps...

Step 2.1.1

Remove parentheses.

$- 8 c^{3} \cdot 7 c^{2} + 4 - (- 4 c^{2} + 4 c - 6)$

Step 2.1.2

Move $c^{3}$ .

$- 8 \cdot 7 c^{3} c^{2} + 4 - (- 4 c^{2} + 4 c - 6)$

Step 2.1.3

Move $4$ .

$- 8 \cdot 7 c^{3} c^{2} - (- 4 c^{2} + 4 c - 6) + 4$

Step 2.2

Factor $- 1$ out of $- 8 \cdot 7 c^{3} c^{2}$ .

$- (8 \cdot 7 c^{3} c^{2}) - (- 4 c^{2} + 4 c - 6) + 4$

Step 2.3

Rewrite $4$ as $- 1 (- 4)$ .

$- (8 \cdot 7 c^{3} c^{2}) - (- 4 c^{2} + 4 c - 6) - 1 (- 4)$

Step 2.4

Factor $- 1$ out of $- (8 \cdot 7 c^{3} c^{2}) - (- 4 c^{2} + 4 c - 6)$ .

$- (8 \cdot 7 c^{3} c^{2} - 4 c^{2} + 4 c - 6) - 1 (- 4)$

Step 2.5

Factor $- 1$ out of $- (8 \cdot 7 c^{3} c^{2} - 4 c^{2} + 4 c - 6) - 1 (- 4)$ .

$- (8 \cdot 7 c^{3} c^{2} - 4 c^{2} + 4 c - 6 - 4)$

Step 3

Subtract $4$ from $- 6$ .

$- (8 \cdot 7 c^{3} c^{2} - 4 c^{2} + 4 c - 10)$

Step 4

Factor $2$ out of $8 \cdot 7 c^{3} c^{2} - 4 c^{2} + 4 c - 10$ .

Tap for more steps...

Step 4.1

Factor $2$ out of $8 \cdot 7 c^{3} c^{2}$ .

$- (2 (4 \cdot 7 c^{3} c^{2}) - 4 c^{2} + 4 c - 10)$

Step 4.2

Factor $2$ out of $- 4 c^{2}$ .

$- (2 (4 \cdot 7 c^{3} c^{2}) + 2 (- 2 c^{2}) + 4 c - 10)$

Step 4.3

Factor $2$ out of $4 c$ .

$- (2 (4 \cdot 7 c^{3} c^{2}) + 2 (- 2 c^{2}) + 2 (2 c) - 10)$

Step 4.4

Factor $2$ out of $- 10$ .

$- (2 (4 \cdot 7 c^{3} c^{2}) + 2 (- 2 c^{2}) + 2 (2 c) + 2 (- 5))$

Step 4.5

Factor $2$ out of $2 (4 \cdot 7 c^{3} c^{2}) + 2 (- 2 c^{2})$ .

$- (2 (4 \cdot 7 c^{3} c^{2} - 2 c^{2}) + 2 (2 c) + 2 (- 5))$

Step 4.6

Factor $2$ out of $2 (4 \cdot 7 c^{3} c^{2} - 2 c^{2}) + 2 (2 c)$ .

$- (2 (4 \cdot 7 c^{3} c^{2} - 2 c^{2} + 2 c) + 2 (- 5))$

Step 4.7

Factor $2$ out of $2 (4 \cdot 7 c^{3} c^{2} - 2 c^{2} + 2 c) + 2 (- 5)$ .

$- (2 (4 \cdot 7 c^{3} c^{2} - 2 c^{2} + 2 c - 5))$

Step 5

Multiply $c^{3}$ by $c^{2}$ by adding the exponents.

Tap for more steps...

Step 5.1

Move $c^{2}$ .

$- (2 (4 \cdot 7 (c^{2} c^{3}) - 2 c^{2} + 2 c - 5))$

Step 5.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$- (2 (4 \cdot 7 c^{2 + 3} - 2 c^{2} + 2 c - 5))$

Step 5.3

Add $2$ and $3$ .

$- (2 (4 \cdot 7 c^{5} - 2 c^{2} + 2 c - 5))$

Step 6

Factor.

Tap for more steps...

Step 6.1

Multiply $4$ by $7$ .

$- (2 (28 c^{5} - 2 c^{2} + 2 c - 5))$

Step 6.2

Remove unnecessary parentheses.

$- 1 \cdot 2 (28 c^{5} - 2 c^{2} + 2 c - 5)$

Step 7

Multiply $- 1$ by $2$ .

$- 2 (28 c^{5} - 2 c^{2} + 2 c - 5)$