# How do you factor #125u^2-50u+5#?

##### 1 Answer

Aug 12, 2016

Factor by breaking into pieces by first taking out the 5 to give

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#### Explanation:

There is a common factor of 5 in all three terms. Dividing out the common factor simplifies the expression so

This is a perfect square trinomial.

25 can be factored into 5 x 5 and 1 can be factored into 1 x1

The trinomial factor can now be factored into two binomials

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