Rational Expressions operations.

Front

What is a rational expression?

Back

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

Front

What is the domain of a rational expression?

Back

The domain of a rational expression is the set of all real numbers except those that make the denominator zero.

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 are excluded values in a rational expression?

Back

Excluded values are the values of the variable that make the denominator zero, rendering the expression undefined.

Front

Simplify: (m+6)/(m-3) * (m-3)/7

Back

(m+6)/7

Front

Multiply and simplify: (n-10)/(8) * (n+7)/(56)

Back

(n-10)/(8)

Front

What is the first step in adding rational expressions?

Back

The first step is to find a common denominator.

Front

What is the result of multiplying two rational expressions?

Back

To multiply two rational expressions, multiply the numerators together and the denominators together.

Front

Simplify: 4x³/(x+2) + 4x³/(x+10)

Back

(4x³(x+10) + 4x³(x+2))/((x+2)(x+10))

Front

What is the process for subtracting rational expressions?

Back

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