Basic Math Examples

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

Step 1

Apply the distributive property.

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

Step 2

Simplify.

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Step 2.1

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1.1

Move $a$ .

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

Step 2.1.2

Multiply $a$ by $a$ .

$- a^{2} (3 b) - 4 b (3 a b) + 2 (3 a b)$

Step 2.2

Multiply $b$ by $b$ by adding the exponents.

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Step 2.2.1

Move $b$ .

$- a^{2} (3 b) - 4 (b \cdot b) (3 a) + 2 (3 a b)$

Step 2.2.2

Multiply $b$ by $b$ .

$- a^{2} (3 b) - 4 b^{2} (3 a) + 2 (3 a b)$

Step 2.3

Multiply $3$ by $2$ .

$- a^{2} (3 b) - 4 b^{2} (3 a) + 6 (a b)$

Step 3

Simplify each term.

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Step 3.1

Rewrite using the commutative property of multiplication.

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

Step 3.2

Multiply $- 1$ by $3$ .

$- 3 a^{2} b - 4 b^{2} (3 a) + 6 (a b)$

Step 3.3

Rewrite using the commutative property of multiplication.

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

Step 3.4

Multiply $- 4$ by $3$ .

$- 3 a^{2} b - 12 b^{2} a + 6 a b$