Precalculus Examples

$4 x (2 x - 1) + 2 {(2 x - 1)}^{2}$

Step 1

Factor $2 (2 x - 1)$ out of $4 x (2 x - 1) + 2 {(2 x - 1)}^{2}$ .

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Step 1.1

Factor $2 (2 x - 1)$ out of $4 x (2 x - 1)$ .

$2 (2 x - 1) (2 x) + 2 {(2 x - 1)}^{2}$

Step 1.2

Factor $2 (2 x - 1)$ out of $2 {(2 x - 1)}^{2}$ .

$2 (2 x - 1) (2 x) + 2 (2 x - 1) (2 x - 1)$

Step 1.3

Factor $2 (2 x - 1)$ out of $2 (2 x - 1) (2 x) + 2 (2 x - 1) (2 x - 1)$ .

$2 (2 x - 1) (2 x + 2 x - 1)$

Step 2

Add $2 x$ and $2 x$ .

$2 (2 x - 1) (4 x - 1)$