# How do you factor 20x^3-125x=0?

Aug 2, 2016

$5 x \left(2 x - 5\right) \left(2 x + 5\right)$

#### Explanation:

Factor out as much as you can from both

$5 x \left(4 {x}^{2} - 25\right)$

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Consider the example
${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$
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Applying the method in the example

Write as: $\text{ } 5 x \left[{\left(2 x\right)}^{2} - {5}^{2}\right]$ giving:

$5 x \left(2 x - 5\right) \left(2 x + 5\right)$