How to add two rational expressions and add in the restrictions

The video tutorial explains how to add two rational expressions by finding a common denominator. It emphasizes the importance of factoring to simplify expressions and determine the least common denominator. The process involves rewriting trinomials, combining expressions with common denominators, and applying the distributive property. The tutorial concludes with the final expression and highlights restrictions on variable values.

What is the first step in adding two rational expressions?

• Subtract the denominators

• Determine the common denominator

• Find the least common multiple of the numerators

• Add the numerators directly

Why is factoring recommended when simplifying rational expressions?

• It makes the expression more complex

• It helps in identifying the least common denominator

• It eliminates the need for a common denominator

• It changes the expression to a polynomial

What is the least common denominator (LCD) for the expressions with denominators X + 2 and X + 3?

• X + 2 * X + 3

• X + 2

• X + 5

• X + 3

Once the denominators are the same, what is the next step in combining rational expressions?

• Subtract the numerators

• Add the numerators

• Multiply the numerators

• Divide the numerators

In the example provided, what is the final expression after combining the numerators?

• 7 / X + 3 * X + 2

• 3X + 16 / X + 3 * X + 2

• 3X + 7 / X + 3 * X + 2

• 3X + 9 / X + 3 * X + 2