SOLUTION: can you please help me with this problem. I do not understand how to do this. Factor Completely 4x^2 + 36y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me with this problem. I do not understand how to do this. Factor Completely 4x^2 + 36y^2      Log On


   

Question 116916: can you please help me with this problem. I do not understand how to do this.
Factor Completely
4x^2 + 36y^2
Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4X^2+36Y^2
4(X^2+9Y^2)
4(X+3Yi)(X-3Yi) IF YOU WANT TO GET INTO IMAGIMARY ROOTS(i).
PROOF:
X+3Yi
X-3Yi
--------------------
X^2+3XYi-3XYi-9Y^2i^2
X^2-9Y^2i^2 (NOTE THAT i=SQRT-1) SO i^2=SQRT-1*SQRT-1=-1
X^2-9Y^2*-1=X^2+9Y^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor Completely
4x^2 + 36y^2
Factor Completely
4x^2 + 36y^2
= (2x+6yi)(2x-6yi)
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Cheers,
Stan H.