Adding and Subtracting 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

What does LCD stand for in mathematics?

Back

LCD stands for Least Common Denominator, which is the smallest multiple that can be used as a common denominator for two or more fractions.

Front

How do you find the LCD of (x+2)/(x-2) and (x+1)/(x+2)?

Back

The LCD is (x+2)(x-2)(x+1).

Front

What is the first step in adding or subtracting rational expressions?

Back

The first step is to find the least common denominator (LCD) of the fractions involved.

Front

What is the process to 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 result of simplifying (12n^2 + 28n + 4) / (2n-5)(n+2)?

Back

The result is (12n^2 - 28n + 4) / (2n-5)(n+2).

Front

What is the least common denominator of 1/2m and 1/3m?

Back

The least common denominator is 6m.

Front

How do you add the rational expressions 1/(x+2) + 1/(x-2)?

Back

First, find the LCD, which is (x+2)(x-2), then rewrite each fraction with the LCD and combine.

Front

What is the simplified form of n/(2m) + n/(3m)?

Back

The simplified form is (5n)/(6m).

Front

What is the importance of factoring in adding and subtracting rational expressions?

Back

Factoring helps to identify common factors that can be canceled, simplifying the expression.