Basic Math Examples

$3 a b \cdot (2 b) - 8 a b^{2}$

Step 1

Factor $a b \cdot 2 b$ out of $3 a b \cdot (2 b) - 8 a b^{2}$ .

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Step 1.1

Factor $a b \cdot 2 b$ out of $3 a b \cdot (2 b)$ .

$a b \cdot 2 b (3) - 8 a b^{2}$

Step 1.2

Factor $a b \cdot 2 b$ out of $- 8 a b^{2}$ .

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

Step 1.3

Factor $a b \cdot 2 b$ out of $a b \cdot 2 b (3) + a b \cdot 2 b (- 4)$ .

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

Step 2

Combine exponents.

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Step 2.1

Raise $b$ to the power of $1$ .

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

Step 2.2

Raise $b$ to the power of $1$ .

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

Step 2.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 2.4

Add $1$ and $1$ .

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

Step 3

Subtract $4$ from $3$ .

$a \cdot 2 b^{2} \cdot - 1$

Step 4

Multiply $- 1$ by $2$ .

$a \cdot - 2 b^{2}$