SOLUTION: x + 3 over x^2-5x all this times (3x^2-17x+10)

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Question 177664This question is from textbook saxon algebra 2
: x + 3 over x^2-5x all this times (3x^2-17x+10) This question is from textbook saxon algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x + 3 over x^2-5x all this times (3x^2-17x+10)
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[(x+3)/(x^2-5x)][3x^2-17x+10]
Factor where possible:
[(x+3)/(x(x-5))][3x^2-15x-2x+10]
= [(x+3)/(x(x-5))][3x(x-5)-2(x-5)]
= = [(x+3)/(x(x-5))][(3x-2)(x-5)]

Cancel the common factor to get:
= [(x+3)/x][(3x-2)
= (3x^2 +7x +6)/x
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Cheers,
Stan H.