SOLUTION: Add. simplify if possible. 8v/v^2-36 + v/v-6 would it be -41+8v^-1?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add. simplify if possible. 8v/v^2-36 + v/v-6 would it be -41+8v^-1?      Log On


   

Question 251425: Add. simplify if possible.
8v/v^2-36 + v/v-6
would it be -41+8v^-1?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Add. simplify if possible.
8v/(v^2-36) + v/(v-6)
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Factor:
8v/[(v-6)(v+6)] + v/(v-6)
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The lcd is (v-6)(v+6)
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Rewrite each fraction with the lcd as its denominator:
8v/lcd + [v(v+6)}/lcd
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Combine the numerators over the lcd:
[8v + v^2+6v]/lcd
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[v^2+14v]/lcd
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Simplify:
[v(v+14)]/[(v+6)(v-6)]
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Cheers,
Stan H.