Algebra Examples

$- 2 (3 a + 2 b - 1) + 3 (a + 4 b - 2)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- 2 (3 a) - 2 (2 b) - 2 \cdot - 1 + 3 (a + 4 b - 2)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $- 2$ .

$- 6 a - 2 (2 b) - 2 \cdot - 1 + 3 (a + 4 b - 2)$

Step 1.2.2

Multiply $2$ by $- 2$ .

$- 6 a - 4 b - 2 \cdot - 1 + 3 (a + 4 b - 2)$

Step 1.2.3

Multiply $- 2$ by $- 1$ .

$- 6 a - 4 b + 2 + 3 (a + 4 b - 2)$

$- 6 a - 4 b + 2 + 3 (a + 4 b - 2)$

Step 1.3

Apply the distributive property.

$- 6 a - 4 b + 2 + 3 a + 3 (4 b) + 3 \cdot - 2$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $4$ by $3$ .

$- 6 a - 4 b + 2 + 3 a + 12 b + 3 \cdot - 2$

Step 1.4.2

Multiply $3$ by $- 2$ .

$- 6 a - 4 b + 2 + 3 a + 12 b - 6$

$- 6 a - 4 b + 2 + 3 a + 12 b - 6$

$- 6 a - 4 b + 2 + 3 a + 12 b - 6$

Step 2

Simplify by adding terms.

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Step 2.1

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

$- 3 a - 4 b + 2 + 12 b - 6$

Step 2.2

Add $- 4 b$ and $12 b$ .

$- 3 a + 8 b + 2 - 6$

Step 2.3

Subtract $6$ from $2$ .

$- 3 a + 8 b - 4$

$- 3 a + 8 b - 4$

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