SOLUTION: (x^2+1)^(1/2) + 2(x^2+1)^(-1/2) factor out (x^2+1)^(-1/2). Please show the steps to factor completly

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x^2+1)^(1/2) + 2(x^2+1)^(-1/2) factor out (x^2+1)^(-1/2). Please show the steps to factor completly      Log On


   

Question 541222: (x^2+1)^(1/2) + 2(x^2+1)^(-1/2)
factor out (x^2+1)^(-1/2).
Please show the steps to factor completly
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2+1)^(1/2) + 2(x^2+1)^(-1/2)
factor out (x^2+1)^(-1/2).
Please show the steps to factor completly
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Divide each term by that common factor to get:
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(x^2+1)^[(1/2)-(-1/2)] + 2(x^2+1)^[(-1/2)-(-1/2)]
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= (x^2+1)^1 + 2(x^2+1)^0
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= x^2+1 + 2*1
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= x^2+3
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Cheers,
Stan H.