Adding and Subtracting 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

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 least common denominator of 1/6x and 1/3xy?

Back

The least common denominator is 6xy.

Front

How do you simplify the expression (6x)/(20xy)?

Back

The simplified expression is 3/(10y).

Front

What is the LCD of the fractions 1/(x+2) and 1/(x-2)?

Back

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

Front

How do you simplify the expression (-17x - 12y)/(15x)?

Back

The expression is already in its simplest form: (-17x - 12y)/(15x).

Front

What is the first step in adding rational expressions?

Back

The first step is to find a common denominator for the fractions.

Front

What is the formula for adding two rational expressions a/b + c/d?

Back

The formula is (ad + bc) / (bd), where b and d are the denominators.

Front

What is the process for subtracting rational expressions?

Back

To subtract rational expressions, find a common denominator, then subtract the numerators and keep the common denominator.