Basic Math Examples

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

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

Step 1

Remove parentheses.

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

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

Step 2

Regroup terms.

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

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

Step 3

Subtract

2 b

$2 b$ from

- b

$- b$ .

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

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

Step 4

Add

2 a

$2 a$ and

3 a

$3 a$ .

- 3 b + 5 a + 2 a

$- 3 b + 5 a + 2 a$

Step 5

Add

5 a

$5 a$ and

2 a

$2 a$ .

- 3 b + 7 a

$- 3 b + 7 a$

Step 6

Factor

- 1

$- 1$ out of

- 3 b + 7 a

$- 3 b + 7 a$ .

Tap for more steps...

Step 6.1

Reorder

- 3 b

$- 3 b$ and

7 a

$7 a$ .

7 a - 3 b

$7 a - 3 b$

Step 6.2

Factor

- 1

$- 1$ out of

7 a

$7 a$ .

- (- 7 a) - 3 b

$- (- 7 a) - 3 b$

Step 6.3

Factor

- 1

$- 1$ out of

- 3 b

$- 3 b$ .

- (- 7 a) - (3 b)

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

Step 6.4

Factor

- 1

$- 1$ out of

- (- 7 a) - (3 b)

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

- (- 7 a + 3 b)

$- (- 7 a + 3 b)$

- (- 7 a + 3 b)

$- (- 7 a + 3 b)$

Step 7

Factor.

Tap for more steps...

Step 7.1

Factor

- 1

$- 1$ out of

- 7 a + 3 b

$- 7 a + 3 b$ .

Tap for more steps...

Step 7.1.1

Factor

- 1

$- 1$ out of

- 7 a

$- 7 a$ .

- (- (7 a) + 3 b)

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

Step 7.1.2

Factor

- 1

$- 1$ out of

3 b

$3 b$ .

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

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

Step 7.1.3

Factor

- 1

$- 1$ out of

- (7 a) - (- 3 b)

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

- - (7 a - 3 b)

$- - (7 a - 3 b)$

- - (7 a - 3 b)

$- - (7 a - 3 b)$

Step 7.2

Remove unnecessary parentheses.

- - 1 (7 a - 3 b)

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

- - 1 (7 a - 3 b)

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

Step 8

Combine exponents.

Tap for more steps...

Step 8.1

Factor out negative.

- - (7 a - 3 b)

$- - (7 a - 3 b)$

Step 8.2

Multiply

- 1

$- 1$ by

- 1

$- 1$ .

1 (7 a - 3 b)

$1 (7 a - 3 b)$

Step 8.3

Multiply

7 a - 3 b

$7 a - 3 b$ by

1

$1$ .

7 a - 3 b

$7 a - 3 b$

7 a - 3 b

$7 a - 3 b$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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