Basic Math Examples

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

Step 1

Remove parentheses.

$2 a + 3 a - b + 2 a - 2 b$

Step 2

Regroup terms.

$- b - 2 b + 2 a + 3 a + 2 a$

Step 3

Subtract $2 b$ from $- b$ .

$- 3 b + 2 a + 3 a + 2 a$

Step 4

Add $2 a$ and $3 a$ .

$- 3 b + 5 a + 2 a$

Step 5

Add $5 a$ and $2 a$ .

$- 3 b + 7 a$

Step 6

Factor $- 1$ out of $- 3 b + 7 a$ .

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Step 6.1

Reorder $- 3 b$ and $7 a$ .

$7 a - 3 b$

Step 6.2

Factor $- 1$ out of $7 a$ .

$- (- 7 a) - 3 b$

Step 6.3

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

$- (- 7 a) - (3 b)$

Step 6.4

Factor $- 1$ out of $- (- 7 a) - (3 b)$ .

$- (- 7 a + 3 b)$

$- (- 7 a + 3 b)$

Step 7

Factor.

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Step 7.1

Factor $- 1$ out of $- 7 a + 3 b$ .

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Step 7.1.1

Factor $- 1$ out of $- 7 a$ .

$- (- (7 a) + 3 b)$

Step 7.1.2

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

$- (- (7 a) - (- 3 b))$

Step 7.1.3

Factor $- 1$ out of $- (7 a) - (- 3 b)$ .

$- - (7 a - 3 b)$

$- - (7 a - 3 b)$

Step 7.2

Remove unnecessary parentheses.

$- - 1 (7 a - 3 b)$

$- - 1 (7 a - 3 b)$

Step 8

Combine exponents.

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Step 8.1

Factor out negative.

$- - (7 a - 3 b)$

Step 8.2

Multiply $- 1$ by $- 1$ .

$1 (7 a - 3 b)$

Step 8.3

Multiply $7 a - 3 b$ by $1$ .

$7 a - 3 b$

$7 a - 3 b$

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