SOLUTION: how do i go about finding this trinomials of this? 16x^2+40xy+25y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do i go about finding this trinomials of this? 16x^2+40xy+25y^2      Log On


   

Question 75063: how do i go about finding this trinomials of this?
16x^2+40xy+25y^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I don't quite understand your question but I think you're asking..."How would I factor this trinomial" Am I right?
Factor:
16x%5E2%2B40xy%2B25y%5E2 Notice that the first and last terms are perfect squares.
%284x%29%5E2+%2B+40xy+%2B+%285y%29%5E2 This suggests the possibility that the factors might be squared. Let's see!
%284x%29%5E2%2B40xy%2B%285y%29%5E2+=+%284x%2B5y%29%284x%2B5y%29
To check this, we'll multiply theses factors to see if we get back the original trinomial: Using the FOIL method...
%284x%2B5y%29%284x%2B5y%29+=+16x%5E2%2B+20xy%2B20xy%2B25y%5E2 Simplify this to get 16x%5E2%2B40xy%2B25y%5E2 and this is your original trinomial.
So the factors are: %284x%2B5y%29%284x%2B5y%29+=+%284x%2B5y%29%5E2