Algebra Examples

$2 (a + b) - 3 (2 a + 1) - 2 (b - 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 a + 2 b - 3 (2 a + 1) - 2 (b - 3)$

Step 1.2

Apply the distributive property.

$2 a + 2 b - 3 (2 a) - 3 \cdot 1 - 2 (b - 3)$

Step 1.3

Multiply $2$ by $- 3$ .

$2 a + 2 b - 6 a - 3 \cdot 1 - 2 (b - 3)$

Step 1.4

Multiply $- 3$ by $1$ .

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

Step 1.5

Apply the distributive property.

$2 a + 2 b - 6 a - 3 - 2 b - 2 \cdot - 3$

Step 1.6

Multiply $- 2$ by $- 3$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $2 a + 2 b - 6 a - 3 - 2 b + 6$ .

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Step 2.1.1

Subtract $2 b$ from $2 b$ .

$2 a - 6 a - 3 + 0 + 6$

Step 2.1.2

Add $2 a - 6 a - 3$ and $0$ .

$2 a - 6 a - 3 + 6$

$2 a - 6 a - 3 + 6$

Step 2.2

Subtract $6 a$ from $2 a$ .

$- 4 a - 3 + 6$

Step 2.3

Add $- 3$ and $6$ .

$- 4 a + 3$

$- 4 a + 3$

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