Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Rewrite using the commutative property of multiplication.

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

Step 1.3

Rewrite using the commutative property of multiplication.

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

Step 1.4

Simplify each term.

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Step 1.4.1

Multiply $- 1$ by $2$ .

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

Step 1.4.2

Multiply $- 1$ by $- 3$ .

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

Step 1.5

Apply the distributive property.

$- 2 a b + 3 a c - 3 a b - 3 a c$

Step 2

Simplify by adding terms.

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Step 2.1

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

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Step 2.1.1

Subtract $3 a c$ from $3 a c$ .

$- 2 a b - 3 a b + 0$

Step 2.1.2

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

$- 2 a b - 3 a b$

Step 2.2

Subtract $3 a b$ from $- 2 a b$ .

$- 5 a b$