Question 235274
Simplify and reduce to lowest terms
1/(√t-5)-3/(√t+5)
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gcd = sqrt(t-5)*sqrt(t+5) = sqrt(t^2-5)
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Rewrite each fraction with the gcd as its denominator:
(sqrt(t+5))/gcd - 3(sqrt(t-5))/gcd

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Combine the numerators over the gcd:

[sqrt(t+5) - 3sqrt(t-5)]/[sqrt(t^2-5)]
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Cheers,
Stan H.