SOLUTION: I could use some help on this problem. Factor the following trinomials. 16x^2 + 40xy + 25y^2 I am not sure I am understanding this section and would appreciate any help.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I could use some help on this problem. Factor the following trinomials. 16x^2 + 40xy + 25y^2 I am not sure I am understanding this section and would appreciate any help.      Log On


   

Question 95511This question is from textbook Beginning Algebra
: I could use some help on this problem.
Factor the following trinomials.
16x^2 + 40xy + 25y^2
I am not sure I am understanding this section and would appreciate any help. Thank you. This question is from textbook Beginning Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the following trinomials.
16x^2 + 40xy + 25y^2
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The square root of the 1st term is 4x
The square root of the 3rd term is 5y
The 2nd term is 2*4x*5y
So, the trinomial is a perfect trinomial square.
It factors as follows:
(4x+5y)^2
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Cheers,
Stan H.