Basic Math Examples

$6 (- 2 b - 3 c) + 3 (2 b + 3 c)$

Step 1

Factor $3$ out of $6 (- 2 b - 3 c) + 3 (2 b + 3 c)$ .

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Step 1.1

Factor $3$ out of $6 (- 2 b - 3 c)$ .

$3 (2 (- 2 b - 3 c)) + 3 (2 b + 3 c)$

Step 1.2

Factor $3$ out of $3 (2 (- 2 b - 3 c)) + 3 (2 b + 3 c)$ .

$3 (2 (- 2 b - 3 c) + 2 b + 3 c)$

Step 2

Apply the distributive property.

$3 (2 (- 2 b) + 2 (- 3 c) + 2 b + 3 c)$

Step 3

Multiply $- 2$ by $2$ .

$3 (- 4 b + 2 (- 3 c) + 2 b + 3 c)$

Step 4

Multiply $- 3$ by $2$ .

$3 (- 4 b - 6 c + 2 b + 3 c)$

Step 5

Add $- 4 b$ and $2 b$ .

$3 (- 2 b - 6 c + 3 c)$

Step 6

Add $- 6 c$ and $3 c$ .

$3 (- 2 b - 3 c)$

Step 7

Factor.

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Step 7.1

Factor $- 1$ out of $- 2 b - 3 c$ .

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Step 7.1.1

Factor $- 1$ out of $- 2 b$ .

$3 (- (2 b) - 3 c)$

Step 7.1.2

Factor $- 1$ out of $- 3 c$ .

$3 (- (2 b) - (3 c))$

Step 7.1.3

Factor $- 1$ out of $- (2 b) - (3 c)$ .

$3 (- (2 b + 3 c))$

Step 7.2

Remove unnecessary parentheses.

$3 \cdot - 1 (2 b + 3 c)$

Step 8

Combine exponents.

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Step 8.1

Factor out negative.

$- (3 (2 b + 3 c))$

Step 8.2

Multiply $3$ by $- 1$ .

$- 3 (2 b + 3 c)$