How do you factor #125u^2-50u+5#?
Factor by breaking into pieces by first taking out the 5 to give
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