SOLUTION: factor by grouping: 5x^3 - 10x^2 - 25x^2 + 50x

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Question 152027: factor by grouping:
5x^3 - 10x^2 - 25x^2 + 50x
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
If you started with:
5x^3 - 10x^2 - 25x^2 + 50x
.
Grouping terms:
(5x^3 - 10x^2) - (25x^2 - 50x)
.
Factoring:
5x^2(x - 2) - 25x(x - 2)
.
Pulling out the (x-2), we get:
(x-2)(5x^2-25x)
.
Wait we're not done -- we can still factor the second term:
(x-2)5x(x-5)
or
5x(x-2)(x-5)