Precalculus Examples

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

Step 1

Factor $2 a b$ out of $2 a b^{2} - 4 a b + 4 a b^{3}$ .

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Step 1.1

Factor $2 a b$ out of $2 a b^{2}$ .

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

Step 1.2

Factor $2 a b$ out of $- 4 a b$ .

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

Step 1.3

Factor $2 a b$ out of $4 a b^{3}$ .

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

Step 1.4

Factor $2 a b$ out of $2 a b (b) + 2 a b (- 2)$ .

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

Step 1.5

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

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

Step 2

Reorder terms.

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