Combining rational expression with unlike denominators

The video tutorial explains how to find the least common multiple (LCM) when dealing with variables in fractions. It begins with a basic introduction to LCM, followed by a step-by-step guide on finding the numeric LCM. The tutorial then covers how to determine the LCM when variables are involved, adjusting denominators to match the LCM, and combining fractions with common denominators. Finally, it discusses writing constraints for denominators to ensure they do not equal zero.

What is the least common multiple (LCM) of 4X and X^2?

• 4X

• X^2

• 4

• 4X^2

When adjusting denominators to match the LCM, what should you multiply the numerator of 4X by?

• X

• X^2

• 2

• 4

Why is it necessary to have the same denominator when subtracting fractions?

• To simplify the numerators

• To ensure the fractions are equivalent

• To make the subtraction process easier

• To avoid division by zero

What is the constraint for X in the expression 3X - 8 over 4X^2?

• X cannot equal 1

• X cannot equal 0

• X cannot equal 2

• X cannot equal 4

What happens if the denominator of a fraction equals zero?

• The fraction becomes negative

• The fraction equals one

• The fraction equals zero

• The fraction becomes undefined