Simplify rational expressions

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 simplify a rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the first step in simplifying (8x + 32)/(x + 4)?

Back

Factor the numerator: 8(x + 4)/(x + 4).

Front

What is the simplified form of (8x + 32)/(x + 4)?

Back

8.

Front

What does it mean to reduce a fraction?

Back

To reduce a fraction means to simplify it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

What is the greatest common factor (GCF) of 3x^3y and 8x^3y?

Back

The GCF is x^3y.

Front

How do you simplify (x + 5)(x - 5)/(x + 5)(x - 2)?

Back

Cancel the common factor (x + 5) to get (x - 5)/(x - 2).

Front

What is the simplified form of (x - 9)/(x + 9)?

Back

1/(x - 9).

Front

What is the result of simplifying (x - 3)/(x)?

Back

(x - 3)/x.

Front

What is the simplified form of -21/(x - 3)?

Back

-21/(x - 3) cannot be simplified further.