Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify each term.

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Step 1.2.1

Apply the distributive property.

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

Step 1.2.2

Rewrite using the commutative property of multiplication.

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

Step 1.2.3

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

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

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Simplify.

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Step 1.4.1

Multiply $2$ by $- 3$ .

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

Step 1.4.2

Multiply $- 1$ by $- 3$ .

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

Step 1.4.3

Multiply $2$ by $- 3$ .

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

$- a - b - 6 a + 3 b a - 6 b$

$- a - b - 6 a + 3 b a - 6 b$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $6 a$ from $- a$ .

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

Step 2.2

Subtract $6 b$ from $- b$ .

$- 7 a - 7 b + 3 b a$

$- 7 a - 7 b + 3 b a$

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