Operations with Rational Expressions Flashcard

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

Front

How do you add rational expressions with the same denominator?

Back

To add rational expressions with the same denominator, combine the numerators and keep the denominator the same.

Front

What is the process for adding rational expressions with different denominators?

Back

To add rational expressions with different denominators, find a common denominator, rewrite each expression, and then combine the numerators.

Front

What is the formula for finding a common denominator?

Back

The common denominator is the least common multiple (LCM) of the denominators of the rational expressions.

Front

How do you subtract rational expressions?

Back

To subtract rational expressions, find a common denominator, rewrite each expression, and then subtract the numerators.

Front

What is the first step in simplifying a rational expression?

Back

The first step in simplifying a rational expression is to factor both the numerator and the denominator.

Front

What does it mean to simplify a rational expression?

Back

Simplifying a rational expression means reducing it to its lowest terms by canceling common factors in the numerator and denominator.

Front

What is the significance of restrictions in rational expressions?

Back

Restrictions in rational expressions indicate values that make the denominator zero, which are not allowed.

Front

How do you multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify if possible.

Front

What is the rule for dividing rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and then simplify.