Algebra Examples

$(2 a - b) - (2 b - c) - (c - a)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 a - b - (2 b) - - c - (c - a)$

Step 1.2

Multiply $2$ by $- 1$ .

$2 a - b - 2 b - - c - (c - a)$

Step 1.3

Multiply $- - c$ .

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Step 1.3.1

Multiply $- 1$ by $- 1$ .

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

Step 1.3.2

Multiply $c$ by $1$ .

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

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

Step 1.4

Apply the distributive property.

$2 a - b - 2 b + c - c - - a$

Step 1.5

Multiply $- - a$ .

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Step 1.5.1

Multiply $- 1$ by $- 1$ .

$2 a - b - 2 b + c - c + 1 a$

Step 1.5.2

Multiply $a$ by $1$ .

$2 a - b - 2 b + c - c + a$

$2 a - b - 2 b + c - c + a$

$2 a - b - 2 b + c - c + a$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $2 a - b - 2 b + c - c + a$ .

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Step 2.1.1

Subtract $c$ from $c$ .

$2 a - b - 2 b + 0 + a$

Step 2.1.2

Add $2 a - b - 2 b$ and $0$ .

$2 a - b - 2 b + a$

$2 a - b - 2 b + a$

Step 2.2

Add $2 a$ and $a$ .

$3 a - b - 2 b$

Step 2.3

Subtract $2 b$ from $- b$ .

$3 a - 3 b$

$3 a - 3 b$

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