Combining rational expression with unlike denominators

The video tutorial explains how to add and subtract rational expressions by ensuring like denominators. It covers factoring trinomials, using the distributive property, and applying the FOIL method. The tutorial also discusses combining expressions and identifying constraints to avoid zero denominators.

What is the importance of having like denominators when adding or subtracting rational expressions?

Explain the process of factoring the expression X^2 - 5. What are the two numbers that multiply to -14 and add to 5?

Describe how to find the least common multiple (LCM) of the denominators X + 7 and X - 2.

What steps are involved in applying the distributive property to combine rational expressions?

What constraints must be considered when determining the values that X cannot equal in the given rational expressions?