Basic Math Examples

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

Step 1

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

Tap for more steps...

Step 1.1

Reorder $2 a$ and $b (- a + 2)$ .

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

Step 1.2

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

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

Step 1.3

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

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

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

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Apply the distributive property.

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

Step 2.2

Rewrite using the commutative property of multiplication.

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

Step 2.3

Move $2$ to the left of $b$ .

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

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

Step 3

Apply the distributive property.

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

Step 4

Simplify.

Tap for more steps...

Step 4.1

Multiply $- 1$ by $3$ .

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

Step 4.2

Multiply $2$ by $3$ .

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

Step 4.3

Multiply $2$ by $3$ .

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

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

Step 5

Remove parentheses.

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

Step 6

Add $a$ and $6 a$ .

$- (7 a + b - 3 b a + 6 b)$

Step 7

Add $b$ and $6 b$ .

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

Step 8

Factor.

Tap for more steps...

Step 8.1

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

Tap for more steps...

Step 8.1.1

Reorder the expression.

Tap for more steps...

Step 8.1.1.1

Move $b$ .

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

Step 8.1.1.2

Move $7 b$ .

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

Step 8.1.1.3

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

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

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

Step 8.1.2

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

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

Step 8.1.3

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

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

Step 8.1.4

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

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

Step 8.1.5

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

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

Step 8.1.6

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

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

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

Step 8.2

Remove unnecessary parentheses.

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

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

Step 9

Combine exponents.

Tap for more steps...

Step 9.1

Factor out negative.

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

Step 9.2

Multiply $- 1$ by $- 1$ .

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

Step 9.3

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

$3 a b - 7 a - 7 b$

$3 a b - 7 a - 7 b$

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