Basic Math Examples

$(8 b^{3} - 10 b^{2}) \cdot (9 b^{5})$

Step 1

Factor.

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Step 1.1

Factor $2 b^{2}$ out of $8 b^{3} - 10 b^{2}$ .

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Step 1.1.1

Factor $2 b^{2}$ out of $8 b^{3}$ .

$(2 b^{2} (4 b) - 10 b^{2}) \cdot (9 b^{5})$

Step 1.1.2

Factor $2 b^{2}$ out of $- 10 b^{2}$ .

$(2 b^{2} (4 b) + 2 b^{2} (- 5)) \cdot (9 b^{5})$

Step 1.1.3

Factor $2 b^{2}$ out of $2 b^{2} (4 b) + 2 b^{2} (- 5)$ .

$2 b^{2} (4 b - 5) \cdot (9 b^{5})$

Step 1.2

Remove unnecessary parentheses.

$2 b^{2} (4 b - 5) \cdot 9 b^{5}$

Step 2

Combine exponents.

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Step 2.1

Multiply $9$ by $2$ .

$18 b^{2} (4 b - 5) b^{5}$

Step 2.2

Multiply $b^{2}$ by $b^{5}$ by adding the exponents.

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Step 2.2.1

Move $b^{5}$ .

$18 (b^{5} b^{2}) (4 b - 5)$

Step 2.2.2

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

$18 b^{5 + 2} (4 b - 5)$

Step 2.2.3

Add $5$ and $2$ .

$18 b^{7} (4 b - 5)$