Engineering Board Exam Reviewer · Partial Fractions and Rational Expressions · medium

Simplify x2-9/x2+x-6 2-3x/x2-4.

1. x+2/x
2. x-2/x
3. x+2/x-3
4. x+2

Answer

A. x+2/x

Solution

Factor: (x-3)(x+3)/(x+3)(x-2)·(x-2)(x+2)/x(x-3). Cancel (x-3), (x+3), and (x-2) to get x+2/x.

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