SOLUTION: I am in summer school and i was wondering how you would do this problem.. The directions are to simplify: (xy^7)(x^4y)/(x^5y^2)^2 and how would i add this equation: x-3/x^

Algebra ->  Vectors -> SOLUTION: I am in summer school and i was wondering how you would do this problem.. The directions are to simplify: (xy^7)(x^4y)/(x^5y^2)^2 and how would i add this equation: x-3/x^      Log On


   



Question 203575: I am in summer school and i was wondering how you would do this problem..
The directions are to simplify:
(xy^7)(x^4y)/(x^5y^2)^2
and how would i add this equation:
x-3/x^2+7x+12 + x-5/x^2-16
please and thank you in advance!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The directions are to simplify:
(xy^7)(x^4y)/(x^5y^2)^2
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(x^5y^8)/(x^10y^4)
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= (y^4)/(x^5)
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and how would i add this equation:
[(x-3)/(x^2+7x+12)] + [(x-5)/(x^2-16)]
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[(x-3)/(x+4)(x+3)] + [(x-5)/(x-4)(x+4)]
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least common denominator is (x+3)(x-4)(x+4)
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Write each fraction over the lcd
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= [(x-3)(x-4)/lcd] + [(x-5)(x+3)/lcd]
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Combine the numerators over the lcd:
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[x^2-7x+12+x^2 -2x-15]/lcd
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= [2x^2-9x-3]/[(x+3)(x-4)(x+4)]
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Cheers,
Stan H.