Adding two rational expression with constraints

The video tutorial covers simplifying rational expressions, factoring trinomials, and finding common denominators. It explains the process of using the distributive property and combining like terms to simplify expressions. The tutorial emphasizes the importance of checking for factorable expressions and demonstrates how to handle non-factorable cases. The final expression is derived by combining like terms and ensuring common denominators.

What is the first step when dealing with rational expressions?

• Multiply the terms

• Simplify the expression

• Find the LCM

• Add the numerators

Which of the following is a non-factorable expression?

• x^2 - 2x + 1

• x^2 - 4x + 4

• x^2 + 5x + 6

• x^2 - 3x + 1

What is the LCM of the expressions x - 8 and x - 4?

• x^2 - 12x + 32

• (x - 8)(x - 4)

• x - 4

• x - 8

How do you rewrite the expression to add rational expressions with different denominators?

• Multiply by the LCM in the numerator and denominator

• Add the numerators directly

• Multiply by the numerator

• Subtract the denominators

What is the final expression after combining the numerators 4x^2 - 11x - 3 over the common denominator?

• 4x^2 - 11x - 3

• 4x^2 - 11x

• 4x^2 - 11x - 3 / (x - 8)(x - 4)

• x^2 - 11x - 3