What do I need to know to add and subtract rational expressions

This video tutorial covers the essentials of adding and subtracting rational expressions. It explains the importance of finding the least common denominator (LCD) for both numbers and polynomials, and how to rewrite fractions to have common denominators. The tutorial also emphasizes the need to simplify expressions by applying the division property, especially when terms in the numerator and denominator are equivalent. Additionally, it provides guidance on determining the LCD for polynomials by taking the product of binomials.

What is the first step when adding fractions with unlike denominators?

• Add the numerators directly

• Find the least common denominator

• Multiply the denominators

• Subtract the smaller denominator from the larger one

Why is it important to simplify rational expressions after combining them?

• To make them look nicer

• To ensure they are in their simplest form

• To add more terms

• To change the denominators

What property allows you to simplify a rational expression when the numerator and denominator are equivalent?

• Multiplication property

• Addition property

• Subtraction property

• Division property

When dealing with polynomials, what is a common method to find the LCD?

• Subtract the polynomials

• Take the product of the binomials

• Multiply the polynomials

• Add the coefficients

What should you do if you have two binomials, X + 1 and X + 2, and need to find the LCD?

• Add them together

• Multiply them to find the product

• Subtract one from the other

• Divide them by a common factor