Algebra Examples

$4 x^{2} {(2 x - 5)}^{2} + 8 x^{2} (2 x - 5)$

Step 1

Factor $4 x^{2} (2 x - 5)$ out of $4 x^{2} {(2 x - 5)}^{2} + 8 x^{2} (2 x - 5)$ .

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Step 1.1

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

$4 x^{2} (2 x - 5) (2 x - 5) + 8 x^{2} (2 x - 5)$

Step 1.2

Factor $4 x^{2} (2 x - 5)$ out of $8 x^{2} (2 x - 5)$ .

$4 x^{2} (2 x - 5) (2 x - 5) + 4 x^{2} (2 x - 5) (2)$

Step 1.3

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

$4 x^{2} (2 x - 5) (2 x - 5 + 2)$

Step 2

Add $- 5$ and $2$ .

$4 x^{2} (2 x - 5) (2 x - 3)$