SOLUTION: Factor the following trinomial: 16x^2 + 40xy + 25y^2

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Question 64093: Factor the following trinomial:
16x^2 + 40xy + 25y^2
Found 2 solutions by funmath, chitra:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
It helps in factoring this to be able to recognize a perfect square trinomial:
There are two possibilities for a perfect square:
a%5E2%2B2ab%2Bb%5E2=%28a%2Bb%29%5E2
a%5E2-2ab%2Bb%5E2=%28a-b%29%5E2
:
Factor the following trinomial:
16x%5E2%2B40xy%2B25y%5E2
%284x%29%5E2%2B2%284x%29%285y%29%2B%285%29%5E2
highlight%28%284x%2B5y%29%5E2%29
Happy Calculating!!!

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression can be written as:

16x%5E2+%2B+40xy+%2B+25y%5E2

%284x%29%5E2+%2B+2%284x%29%285y%29+%2B+%285y%29%5E2


This is in the form of a%5E2+%2B+2ab+%2B+b%5E2


this is nothing but the expansion of %28a%2Bb%29%5E2


So this can be further simplified as :


%284x+%2B+5y%29%5E2


Regards,
Chitra