Rational Expressions and Equations

Adding / Subtracting

  • In order to do this, you need to find a common denominator

  • Ex: \frac{10}{2x²} + \frac{5}{3x} → 3(\frac{10}{2x²}) + 2x(\frac{5}{3x}) → \frac{30}{6x²} + \frac{10x}{6x²} = \frac{30 + 10x}{6x²}

Multiplying

  • To do this, factor, reduce, and then multiply

  • Ex: \frac{x+5}{4x-16} * \frac{2x²-32}{x²-25} → $$\frac{