Algebra Examples

$a - ((a - (a - b)) - (b - (a - b)))$

Step 1

Simplify each term.

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$a - (a - a - - b - (b - (a - b)))$

Step 1.1.2

Multiply $- - b$ .

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Step 1.1.2.1

Multiply $- 1$ by $- 1$ .

$a - (a - a + 1 b - (b - (a - b)))$

Step 1.1.2.2

Multiply $b$ by $1$ .

$a - (a - a + b - (b - (a - b)))$

$a - (a - a + b - (b - (a - b)))$

Step 1.1.3

Simplify each term.

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Step 1.1.3.1

Apply the distributive property.

$a - (a - a + b - (b - a - - b))$

Step 1.1.3.2

Multiply $- - b$ .

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Step 1.1.3.2.1

Multiply $- 1$ by $- 1$ .

$a - (a - a + b - (b - a + 1 b))$

Step 1.1.3.2.2

Multiply $b$ by $1$ .

$a - (a - a + b - (b - a + b))$

$a - (a - a + b - (b - a + b))$

$a - (a - a + b - (b - a + b))$

Step 1.1.4

Add $b$ and $b$ .

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

Step 1.1.5

Apply the distributive property.

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

Step 1.1.6

Multiply $- - a$ .

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Step 1.1.6.1

Multiply $- 1$ by $- 1$ .

$a - (a - a + b + 1 a - (2 b))$

Step 1.1.6.2

Multiply $a$ by $1$ .

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

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

Step 1.1.7

Multiply $2$ by $- 1$ .

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

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

Step 1.2

Subtract $a$ from $a$ .

$a - (0 + b + a - 2 b)$

Step 1.3

Add $0$ and $b$ .

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

Step 1.4

Subtract $2 b$ from $b$ .

$a - (a - b)$

Step 1.5

Apply the distributive property.

$a - a - - b$

Step 1.6

Multiply $- - b$ .

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Step 1.6.1

Multiply $- 1$ by $- 1$ .

$a - a + 1 b$

Step 1.6.2

Multiply $b$ by $1$ .

$a - a + b$

$a - a + b$

$a - a + b$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $a$ from $a$ .

$0 + b$

Step 2.2

Add $0$ and $b$ .

$b$

$b$

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