Basic Math Examples

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

Step 1

Apply the distributive property.

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

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 $a$ .

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

Step 2.1.2

Multiply $a$ by $a$ .

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

Step 2.2

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

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Step 2.2.1

Move $b$ .

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

Step 2.2.2

Multiply $b$ by $b$ .

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

Step 2.3

Multiply $2$ by $4$ .

$- a^{2} (2 b) - 6 b^{2} (2 a) + 8 (a b)$

Step 3

Simplify each term.

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Step 3.1

Rewrite using the commutative property of multiplication.

$- 1 \cdot 2 a^{2} b - 6 b^{2} (2 a) + 8 (a b)$

Step 3.2

Multiply $- 1$ by $2$ .

$- 2 a^{2} b - 6 b^{2} (2 a) + 8 (a b)$

Step 3.3

Rewrite using the commutative property of multiplication.

$- 2 a^{2} b - 6 \cdot 2 b^{2} a + 8 (a b)$

Step 3.4

Multiply $- 6$ by $2$ .

$- 2 a^{2} b - 12 b^{2} a + 8 a b$