Complex Rational Expressions, please help
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Complex Rational Expressions, please help

[From: ] [author: ] [Date: 12-09-13] [Hit: ]
......
(8/y-3 - 7/y) - (5/y^2-3y + 2/y)

Pleas explain to me how to do this problem.. I'm so confused on how to even start.

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Start by doing your parentheses better. I think your problem is

[8/(y-3) - 7/y] - [5/(y^2-3y) + 2/y]

The common denominator is y(y-3) = y^2 - 3y. Put everything over that, and start getting rid of parentheses:

[8y - 7(y-3) - 5 - 2(y-3)] / (y^2 - 3y) = (8y - 7y + 21 - 5 - 2y + 6) / (y^2 - 3y)

= (-y + 22) / (y^2 - 3y) = (22 - y) / (y^2 - 3y) (Answer)
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