# Simplifying Rational Expressions

How to simplify rational expressions: examples and their solutions.

## Example 1

Factor the denominator:*x*^{2} - 7*x* + 10 = (*x* - 5)(*x* - 2)

Cancel the common factor (*x* - 5).

## Example 2

Factor the numerator and the denominator:

2*a*^{2} + *a* - 1 = (2*a* - 1)(*a* + 1)*a*^{2} - 2*a* - 3 = (*a* + 1)(*a* - 3)

Cancel the common factor (*a* + 1).