SOLUTION: Factor the expression 25u^2-20uv+4v^2 This is what I tried by using 3 Term Regular Factoring: a*c= 25*4 b= 20 My two numbers are -10 and -10 25u^2-20uv+4v^2 25u^2- -10

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Question 458419: Factor the expression
25u^2-20uv+4v^2
This is what I tried by using 3 Term Regular Factoring:
a*c= 25*4
b= 20
My two numbers are -10 and -10
25u^2-20uv+4v^2
25u^2- -10uv - 10uv + 4v^2
5u(5u+2v) 2v(5u+2v)
(5u+2v)(5u+2v)
I'm not sure if I carried the - signs correctly through the problem.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Factor the expression
25u^2-20uv+4v^2
This is what I tried by using 3 Term Regular Factoring:
a*c= 25*4
b= 20
My two numbers are -10 and -10
25u^2-20uv+4v^2
25u^2- -10uv - 10uv + 4v^2
---
Factoring the 1st 2 and the last 2 terms separately you get:
5u(5u-2v)-2v(5u-2v)
--------
Factoring again you get:
= (5u-2v)(5u-2v)
=========================
Cheers,
Stan H.
=========================

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