SOLUTION: . Factor completely. Show work m^3 - 10m^2 + 25m can some one show me the steps if im taking the group and adding first is that right

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Question 300765: . Factor completely. Show work
m^3 - 10m^2 + 25m can some one show me the steps if im taking the group and adding first is that right
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Given: M%5E3+-+10M%5E2+%2B25M
First you can factor out an M
M%2A%28M%5E2+-+10M+%2B+25%29
Now you need to factor M%5E2+-+10M+%2B+25
This can be done by unfoiling the equation
Find the factors of 25: 1,5,5,25
After you find those factors you need to see what adds together to get -10
-5 - 5 = -10
Your equation now becomes M+-+5%29%2A%28M+-+5%29
But that was just the part inside the parenthesis
The complete factored equation is: highlight%28M%2A%28M-5%29%2A%28M-5%29%29
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You can also solve for M by setting the equation to 0
Then you can solve for each term.
Since we started with an M^3, there will be 3 answers
(The number of answers is determined by the highest exponent (in this problem it was 3))
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highlight%28M+=+0%29
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M+-+5+=+0
highlight_green%28M+=+5%29
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M+-+5+=+0
highlight%28M+=+5%29
And yes you can have the same answer more than once