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10-10 Complex Rational Expressions

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10-10Complex Rational Expressions

Standard 13.0

One Key Term

Complex rational expressions

A rational expression that has a rational expression in its numerator or denominator or both.

One Term

Two Terms

- At least two terms in the numerator or denominator.
- Find the LCM of the numerator’s fractions and the denominator’s fractions.
- Multiply the numerator and the denominator of the complex rational expression by the LCM.
- Simplify.

- One term only in both the numerator and denominator of the complex rational expression.
- Write the complex rational expression out by replacing a division by a product of the reciprocal.
- Factor, simplify, and multiply.