Simplified Rational Expression A rational expression is considered simplified if there are no common factors in its numerator and denominator Opposites in a Rational Expression The opposite of a - b is b - a .

Multiplication of Rational Expressions If p , q , r , s are polynomials where q ≠ 0 , s ≠ 0 , then p q · r s = p r q s To multiply rational expressions, multiply the numerators and multiply the denominators

rational expression — A rational expression is an expression of the form p q , where p and q are polynomials and q ≠ 0. complex rational expression — A complex rational expression is a rational expression in which the numerator or denominator contains a rational expression. proportion — A proportion is an equation of the form a b = c d , where b ≠ 0 , d ≠ 0 . The proportion is read “ a is to b , as c is to d . ”. similar figures — Two figures are similar if the measures of their corresponding angles are equal and their corresponding sides are in the same ratio.

Be able to determine the Values for Which a Rational Expression is Undefined Step 1. Set the denominator equal to zero; simplify a Rational Expression Step 1. Factor the numerator and denominator completely; find the Least Common Denominator of Rational Expressions Step 1. Factor each expression completely.