SOLUTION: can you help me solve this: Determine if the trinomial is a perfect square. If so, factor the trinomial. (You may have to take out a common factor first.) m^2 + 18mn + 81n^2

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: can you help me solve this: Determine if the trinomial is a perfect square. If so, factor the trinomial. (You may have to take out a common factor first.) m^2 + 18mn + 81n^2       Log On


   

Question 72013: can you help me solve this: Determine if the trinomial is a perfect square. If so, factor the trinomial. (You may have to take out a common factor first.)
m^2 + 18mn + 81n^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Determine if the trinomial is a perfect square. If so, factor the trinomial. (You may have to take out a common factor first.)
m^2 + 18mn + 81n^2
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m^2 is a perfect square with square root "m"
81n^2 is a perfect square with square root "9n"
18mn is twice the product of m and 9n : 2*m*9n=18mn
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The three conditions for the trinomial to be a perfect square are met.
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The factors are (m+9n)(m+9n)
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Cheers,
Stan H.