Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Rewrite using the commutative property of multiplication.

$2 a b + 2 \cdot 6 a c + a (c - 2 b)$

Step 1.3

Multiply $2$ by $6$ .

$2 a b + 12 a c + a (c - 2 b)$

Step 1.4

Apply the distributive property.

$2 a b + 12 a c + a c + a (- 2 b)$

Step 1.5

Rewrite using the commutative property of multiplication.

$2 a b + 12 a c + a c - 2 a b$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $2 a b + 12 a c + a c - 2 a b$ .

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Step 2.1.1

Subtract $2 a b$ from $2 a b$ .

$12 a c + a c + 0$

Step 2.1.2

Add $12 a c + a c$ and $0$ .

$12 a c + a c$

Step 2.2

Add $12 a c$ and $a c$ .

$13 a c$