SOLUTION: Is the following trinomial a perfect square? Please explain your answer. x2 + 10x + 25

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Question 89486: Is the following trinomial a perfect square? Please explain your answer.
x2 + 10x + 25
Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Yes; the 1st and the 3rd terms are perfect squares.
The 2nd term is twice the product of the square-roots of the 1st and
the 3rd terms.
Those conditions make it a perfect trinomial square.
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Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Is the following trinomial a perfect square? Please explain your answer.
x2 + 10x + 25
Yes.
If you were to factor it:
(x___)(x___) Fill the blanks with two integers that multiply to get 25, but add to get 10.
(x+5)(x+5)
%28x%2B5%29%5E2
The form of perfect square trinomials are:
x%5E2%2B2xy%2By%5E2=%28x%2By%29%5E2
and
x%5E2-2xy%2By%5E2=%28x-y%29%5E2
If you want to you can put your trinomial into that form:
x%5E2%2B2%28x%29%285%29%2B5%5E2=%28x%2B5%29%5E2
Happy Calculating!!!!