Multiplying and Dividing Rational Expressions

Front

What is a rational expression?

Back

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

Front

How do you multiply two rational expressions?

Back

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

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

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 result of multiplying (x+2)/(x-3) by (x-3)/(x+4)?

Back

The result is (x+2)/(x+4) after canceling the (x-3) terms.

Front

What is the formula for dividing rational expressions?

Back

The formula is: (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is a common mistake when multiplying rational expressions?

Back

A common mistake is forgetting to simplify the expression after multiplying.

Front

How do you identify common factors in rational expressions?

Back

Common factors can be identified by factoring the numerator and denominator and looking for identical terms.

Front

What is the simplified form of (n^2 - 4)/(n^2 - 2n - 8)?

Back

The simplified form is (n+2)/(n-4) after factoring.

Front

What is the importance of factoring in multiplying and dividing rational expressions?

Back

Factoring helps to identify and cancel common factors, making simplification easier.