Pre-Algebra Examples

$- 3 b^{2} + 7 b^{3}$

Step 1

Factor $- b^{2}$ out of $- 3 b^{2} + 7 b^{3}$ .

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Step 1.1

Reorder $- 3 b^{2}$ and $7 b^{3}$ .

$7 b^{3} - 3 b^{2}$

Step 1.2

Factor $- b^{2}$ out of $7 b^{3}$ .

$- b^{2} (- 7 b) - 3 b^{2}$

Step 1.3

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

$- b^{2} (- 7 b) - b^{2} (3)$

Step 1.4

Factor $- b^{2}$ out of $- b^{2} (- 7 b) - b^{2} (3)$ .

$- b^{2} (- 7 b + 3)$

$- b^{2} (- 7 b + 3)$

Step 2

Factor.

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Step 2.1

Factor $- 1$ out of $- 7 b + 3$ .

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Step 2.1.1

Factor $- 1$ out of $- 7 b$ .

$- b^{2} (- (7 b) + 3)$

Step 2.1.2

Rewrite $3$ as $- 1 (- 3)$ .

$- b^{2} (- (7 b) - 1 (- 3))$

Step 2.1.3

Factor $- 1$ out of $- (7 b) - 1 (- 3)$ .

$- b^{2} (- (7 b - 3))$

$- b^{2} (- (7 b - 3))$

Step 2.2

Remove unnecessary parentheses.

$- b^{2} \cdot - 1 (7 b - 3)$

$- b^{2} \cdot - 1 (7 b - 3)$

Step 3

Combine exponents.

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Step 3.1

Factor out negative.

$- (b^{2} \cdot - 1 (7 b - 3))$

Step 3.2

Multiply $- 1$ by $- 1$ .

$1 (b^{2} (7 b - 3))$

Step 3.3

Multiply $b^{2}$ by $1$ .

$b^{2} (7 b - 3)$

$b^{2} (7 b - 3)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$