Adding two basic rational expressions by determining the LCM

The video tutorial explains how to determine the least common multiple (LCM) of algebraic expressions. It begins with an introduction to the concept of LCM, followed by a step-by-step guide on finding the LCM by multiplying expressions. The tutorial then demonstrates how to combine fractions with common denominators and discusses the importance of constraints in the process. The session concludes with a summary of the key points covered.

What is the first step in finding the LCM of two algebraic expressions when they have no common multiples?

• Divide the expressions by a common factor

• Add the expressions together

• Multiply the expressions together

• Subtract one expression from the other

In the example provided, what expressions are multiplied to find the LCM?

• X + 5 and X + 6

• X + 4 and X + 5

• X + 2 and X + 5

• X + 3 and X + 4

Why is it important to write constraints for the variable X when combining fractions?

• To simplify the expressions

• To find the greatest common factor

• To avoid division by zero

• To ensure the expressions are equal

What is the result of combining the numerators in the example provided?

• X + 9

• 2X + 9

• X + 5

• 2X + 5

What is the purpose of adding fractions with the same denominator?

• To find the LCM

• To simplify the expression

• To combine the numerators

• To multiply the expressions