### Concept (1)

Simplifying rational expressions combines everything learned about factoring common factors and polynomials. When simplifying complex fractions, factor the numerator and denominator into terms multiplying each other and look for equivalents of one (something divided by itself). Include parenthesis around any expression with a "+" or "-" and if all terms cancel in the numerator, there is still a one there.

### Sample Problems (6)

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Simplify:

 1 + 1 a b
 1 − 1 a² b²
###### Problem 1
How to simplify a complex fraction using two different methods.

Simplify:

 3x⁻¹ − 3y⁻¹ y⁻² − x⁻²
###### Problem 2
How to simplify a complex fraction with negative exponents.
###### Problem 3
Simplifying Complex/Double Fractions.
###### Problem 4
Simplifying complex fractions with an additional operation.
###### Problem 5
Simplifying complex fractions with multiple fractions embedded.
###### Problem 6
Simplifying fractions that have sums and differences of terms with negative exponents.