SOLUTION: Simplify by writing the expression as a single quotient in which only positive exponents appear. [{{{(81-X^2)^(1/2)}}}+{{{4X^2(81-X^2)^(-1/2)}}}]/{{{81-X^2}}}

Question 550003: Simplify by writing the expression as a single quotient in which only positive exponents appear.
[+]/

Found 2 solutions by stanbon, KMST:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[(81-X^2)^(1/2) + 4X^2(81-X^2)^(-1/2)] /{81-X^2}
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Let (81-x^2) = m
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Substitute for simplicity's sake:
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[ sqrt(m) + 4x^2/sqrt(m) ] / m
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[m + 4x^2]/sqrt(m)/m
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[m + 4x^2]/m^(3/2)
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Substitute back to get:
[(81-x^2) +4x^2]/(81-x^2)^(3/2)
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= [3x^2+81]/[81-x^2)^(3/2)
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Cheers,
Stan H.
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Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
[+]/ =
[+]/ =
[+]/ =
/ =
=
=
PS Congratulations on the skillful rendering of your rational expression!
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