Basic Math Examples

$12 a c + 4 a c - 3 b c - b$

Step 1

Regroup terms.

$- 3 b c + 12 a c + 4 a c - b$

Step 2

Add $12 a c$ and $4 a c$ .

$- 3 b c + 16 a c - b$

Step 3

Factor $- 1$ out of $- 3 b c + 16 a c - b$ .

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Step 3.1

Reorder $- 3 b c$ and $16 a c$ .

$16 a c - 3 b c - b$

Step 3.2

Factor $- 1$ out of $16 a c$ .

$- (- 16 a c) - 3 b c - b$

Step 3.3

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

$- (- 16 a c) - (3 b c) - b$

Step 3.4

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

$- (- 16 a c) - (3 b c) - (b)$

Step 3.5

Factor $- 1$ out of $- (- 16 a c) - (3 b c)$ .

$- (- 16 a c + 3 b c) - (b)$

Step 3.6

Factor $- 1$ out of $- (- 16 a c + 3 b c) - (b)$ .

$- (- 16 a c + 3 b c + b)$

$- (- 16 a c + 3 b c + b)$

Step 4

Factor.

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Step 4.1

Factor $- 1$ out of $- 16 a c + 3 b c + b$ .

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Step 4.1.1

Factor $- 1$ out of $- 16 a c$ .

$- (- (16 a c) + 3 b c + b)$

Step 4.1.2

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

$- (- (16 a c) - (- 3 b c) + b)$

Step 4.1.3

Factor $- 1$ out of $b$ .

$- (- (16 a c) - (- 3 b c) - 1 (- b))$

Step 4.1.4

Factor $- 1$ out of $- (16 a c) - (- 3 b c)$ .

$- (- (16 a c - 3 b c) - 1 (- b))$

Step 4.1.5

Factor $- 1$ out of $- (16 a c - 3 b c) - 1 (- b)$ .

$- - (16 a c - 3 b c - b)$

$- - (16 a c - 3 b c - b)$

Step 4.2

Remove unnecessary parentheses.

$- - 1 (16 a c - 3 b c - b)$

$- - 1 (16 a c - 3 b c - b)$

Step 5

Combine exponents.

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Step 5.1

Factor out negative.

$- - (16 a c - 3 b c - b)$

Step 5.2

Multiply $- 1$ by $- 1$ .

$1 (16 a c - 3 b c - b)$

Step 5.3

Multiply $16 a c - 3 b c - b$ by $1$ .

$16 a c - 3 b c - b$

$16 a c - 3 b c - b$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$