Simplifying a rational expression by factoring

The video tutorial explains how to factor expressions in both the numerator and denominator. It covers identifying the greatest common factor (GCF) and using the difference of squares method for factoring. The tutorial also discusses restrictions on variable values to avoid division by zero and demonstrates the final simplification of the expression while maintaining these restrictions.

What is the first step in factoring the numerator of the given expression?

• Identify the difference of squares

• Find the greatest common factor

• Set the expression equal to zero

• Multiply by the conjugate

How can the expression in the denominator be factored?

• By identifying it as a difference of squares

• By using the quadratic formula

• By recognizing it as a sum of cubes

• By finding the GCF

Why is it important to consider restrictions on the variable?

• To find the maximum value of the expression

• To simplify the expression further

• To prevent the denominator from becoming zero

• To ensure the numerator is not zero

What happens if the variable equals one of the restricted values?

• The expression simplifies to one

• The expression becomes undefined

• The numerator becomes zero

• The denominator becomes negative

After simplification, why do the original restrictions still apply?

• Because they change the value of the numerator

• Because they simplify the expression further

• Because they ensure the expression is defined

• Because they are part of the numerator