SOLUTION: I am trying to find the method of solving: ((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x) I have tried simplifying and factor

Algebra ->  Expressions-with-variables -> SOLUTION: I am trying to find the method of solving: ((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x) I have tried simplifying and factor      Log On


   

Question 477131: I am trying to find the method of solving:
((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x)


I have tried simplifying and factoring. Though I do not end up with the correct answer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am trying to find the method of solving:
((x^2 + 4x) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x^3 + 4x)
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((x(x+4)) / (x^2 + 4)) * ((x + 2)^2 / x^2) = ((x + 4)(x + 2)^2) / (x(x^2+4))
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Cancel where you can:
= (((x+4)) / (x^2 + 4)) * ((x + 2)^2 / x) = ((x + 4)(x + 2)^2) / (x(x^2+4))
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Multiply thru by x(x^2+4) to get:
= (x+4)+(x+2)^2) = (x+4)(x+2)^2
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Solution: True for all Real Numbers except x = 0
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Cheers,
Stan H.
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