Learn how to add two rational expressions by finding the LCD

The video tutorial covers the process of finding the least common denominator (LCD) in rational expressions. It emphasizes the importance of simplifying expressions through factoring and demonstrates how to find a common denominator for division. The tutorial also explains how to multiply fractions to achieve a common denominator and apply the distributive property. Finally, it shows how to combine like terms to simplify expressions further.

What is the first step in simplifying a rational expression?

• Multiply the terms

• Add the terms

• Factor the expression

• Subtract the terms

When finding the least common denominator, what must be true for the expressions to divide properly?

• They must be in simplest form

• They must have a common factor

• They must have the same denominator

• They must have the same numerator

What is the purpose of multiplying both fractions by the necessary terms when finding the LCD?

• To simplify the fractions

• To ensure the numerators are equal

• To obtain a common denominator

• To factor the expressions

Which operation is used to combine like terms in a rational expression?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of applying the distributive property to the expression 8 * (X + 5) + 9 * (X + 2)?

• 17X + 58

• 8X + 5 + 9X + 2

• 17X + 40

• 8X + 9X