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

Question 75063: how do i go about finding this trinomials of this?
16x^2+40xy+25y^2
Answer by Earlsdon(6294) (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:
Notice that the first and last terms are perfect squares.
This suggests the possibility that the factors might be squared. Let's see!

To check this, we'll multiply theses factors to see if we get back the original trinomial: Using the FOIL method...
Simplify this to get and this is your original trinomial.
So the factors are:
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