Rational Expressions Like Denominators

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 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 a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

Why is it important to have a common denominator when adding or subtracting rational expressions?

Back

Having a common denominator ensures that the fractions can be combined correctly.

Front

What is the first step in adding rational expressions?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you find the least common denominator of two fractions?

Back

To find the least common denominator, list the multiples of each denominator and identify the smallest multiple that appears in both lists.

Front

What is the process for subtracting rational expressions?

Back

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

Front

What is the significance of the expression (a + 2b) / 6b²?

Back

This expression is a simplified form of a rational expression, showing how variables and constants can be combined.