SOLUTION: how would you factor? 25y^2+25xy+4x^2 please

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Question 1067897: how would you factor?
25y^2+25xy+4x^2

please
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
First you have to group:
The coefficient of y^2 is 25 and the coefficient of x^2 is 4.
25*4 = 100. And the factors of 100 that when added sum 25 are 5 and 20:
25y^2+25xy+4x^2 = 25y^2+20xy+5xy+4x^2 =
= 4x(x+5y)+5y(x+5y)now in this equation factor the common terms:
factor x+5y from 4x(x+5y)+5y(x+5y) and you get your answer:
(x+5y)(4x+5y)

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

how would you factor?
25y^2+25xy+4x^2

please

------- Replacing 25xy with + 20xy + 5xy
----- Grouping terms
5y(5y + 4x) + x(5y + 4x)