SOLUTION: (3x-1/x^2+3x)+(2/5x)

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Question 87384: (3x-1/x^2+3x)+(2/5x)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28%283x-1%29%2F%28x%5E2%2B3x%29%29%2B%282%2F5x%29%29
%28%28%285x%29%283x-1%29%2F%28x%5E2%2B3x%29%29%2B+%28x%5E2%2B3x%29%282%2F5x%29%29[cross-multiply for the numerators]
%28%28%2815x%5E2-5x%29%2F%28x%5E2%2B3x%29%29%2B+%282x%5E2%2B6x%29%2F5x%29%29
.
%28%28%2815x%5E2-5x%2B+2x%5E2%2B6x%29%2F%28x%5E2%2B3x%29%285x%29%29%29 [combine the numberators and multiply the denominators]
.
%28%28%2817x%5E2%2Bx%29%2F%285x%5E3%2B+15x%5E2%29%29%29%29 [combine like-terms wherever possible]
.
%28%28%28x%29%2817x%2B+1%29%2F%28x%29%285x%5E2%2B+15x%29%29%29%29 [factor wherever possible]
.
%28%28%2817x%2B+1%29%2F%285x%5E2%2B+15x%29%29%29%29 [cancel and simplify wherever possible]