SOLUTION: Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial. 16x^2+40xy+25y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial. 16x^2+40xy+25y^2      Log On


   

Question 116473: Determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial.
16x^2+40xy+25y^2
Answer by jpa65@hotmail.com(9) About Me  (Show Source):
You can put this solution on YOUR website!
It is a perfect square because 16 and 25 are perfect squares. So it would simplify to...
(4x+5y)^2
Then check.
(4x)^2=16x^2
(5y)^2=25y^2
Heres where you must memorize for perfect square problems.
(a+b)^2=a^2+2ab+b^2. So...
2(4x+5y)=40xy
There you go. Hope this helps.