Algebra Examples

$6 a + 8 b + 5 (3 a + b + 4 c) - (2 a + 3 b)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$6 a + 8 b + 5 (3 a) + 5 b + 5 (4 c) - (2 a + 3 b)$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $3$ by $5$ .

$6 a + 8 b + 15 a + 5 b + 5 (4 c) - (2 a + 3 b)$

Step 1.2.2

Multiply $4$ by $5$ .

$6 a + 8 b + 15 a + 5 b + 20 c - (2 a + 3 b)$

$6 a + 8 b + 15 a + 5 b + 20 c - (2 a + 3 b)$

Step 1.3

Apply the distributive property.

$6 a + 8 b + 15 a + 5 b + 20 c - (2 a) - (3 b)$

Step 1.4

Multiply $2$ by $- 1$ .

$6 a + 8 b + 15 a + 5 b + 20 c - 2 a - (3 b)$

Step 1.5

Multiply $3$ by $- 1$ .

$6 a + 8 b + 15 a + 5 b + 20 c - 2 a - 3 b$

$6 a + 8 b + 15 a + 5 b + 20 c - 2 a - 3 b$

Step 2

Simplify by adding terms.

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Step 2.1

Add $6 a$ and $15 a$ .

$21 a + 8 b + 5 b + 20 c - 2 a - 3 b$

Step 2.2

Subtract $2 a$ from $21 a$ .

$19 a + 8 b + 5 b + 20 c - 3 b$

Step 2.3

Add $8 b$ and $5 b$ .

$19 a + 13 b + 20 c - 3 b$

Step 2.4

Subtract $3 b$ from $13 b$ .

$19 a + 10 b + 20 c$

$19 a + 10 b + 20 c$

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