Basic Math Examples

$6 a + 2 b - 8 (2 a - 6 b)$

Step 1

Factor $2$ out of $6 a + 2 b - 8 (2 a - 6 b)$ .

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Step 1.1

Factor $2$ out of $6 a$ .

$2 (3 a) + 2 b - 8 (2 a - 6 b)$

Step 1.2

Factor $2$ out of $2 b$ .

$2 (3 a) + 2 (b) - 8 (2 a - 6 b)$

Step 1.3

Factor $2$ out of $- 8 (2 a - 6 b)$ .

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

Step 1.4

Factor $2$ out of $2 (3 a) + 2 (b)$ .

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

Step 1.5

Factor $2$ out of $2 (3 a + b) + 2 (- 4 (2 a - 6 b))$ .

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

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

Step 2

Apply the distributive property.

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

Step 3

Multiply $2$ by $- 4$ .

$2 (3 a + b - 8 a - 4 (- 6 b))$

Step 4

Multiply $- 6$ by $- 4$ .

$2 (3 a + b - 8 a + 24 b)$

Step 5

Subtract $8 a$ from $3 a$ .

$2 (- 5 a + b + 24 b)$

Step 6

Add $b$ and $24 b$ .

$2 (- 5 a + 25 b)$

Step 7

Factor.

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Step 7.1

Factor $5$ out of $- 5 a + 25 b$ .

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Step 7.1.1

Factor $5$ out of $- 5 a$ .

$2 (5 (- a) + 25 b)$

Step 7.1.2

Factor $5$ out of $25 b$ .

$2 (5 (- a) + 5 (5 b))$

Step 7.1.3

Factor $5$ out of $5 (- a) + 5 (5 b)$ .

$2 (5 (- a + 5 b))$

$2 (5 (- a + 5 b))$

Step 7.2

Remove unnecessary parentheses.

$2 \cdot 5 (- a + 5 b)$

$2 \cdot 5 (- a + 5 b)$

Step 8

Multiply $2$ by $5$ .

$10 (- a + 5 b)$

Step 9

Factor.

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Step 9.1

Factor $- 1$ out of $- a + 5 b$ .

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Step 9.1.1

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

$10 (- (a) + 5 b)$

Step 9.1.2

Factor $- 1$ out of $5 b$ .

$10 (- (a) - (- 5 b))$

Step 9.1.3

Factor $- 1$ out of $- (a) - (- 5 b)$ .

$10 (- (a - 5 b))$

$10 (- (a - 5 b))$

Step 9.2

Remove unnecessary parentheses.

$10 \cdot - 1 (a - 5 b)$

$10 \cdot - 1 (a - 5 b)$

Step 10

Combine exponents.

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Step 10.1

Factor out negative.

$- (10 (a - 5 b))$

Step 10.2

Multiply $10$ by $- 1$ .

$- 10 (a - 5 b)$

$- 10 (a - 5 b)$

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