How to use the difference of two squares to evaluate the limit by substitution

The video tutorial explains the process of handling zero in the denominator during substitution. It covers graphing and algebraic properties, focusing on factoring the numerator into the difference of two squares. After simplification, direct substitution is applied to evaluate the expression, leading to the final result.

Why is it important to avoid having zero in the denominator?

• It simplifies the graphing process.

• It results in an undefined expression.

• It allows for direct substitution.

• It makes the equation easier to solve.

What algebraic method is used to simplify the numerator in this context?

• Difference of two squares

• Completing the square

• Factoring by grouping

• Using the quadratic formula

What is the purpose of factoring the numerator?

• To change the variable

• To eliminate the denominator

• To simplify the expression

• To find the roots

After simplifying the expression, what can be applied to evaluate it?

• Graphical analysis

• Direct substitution

• Matrix operations

• Numerical approximation

What is the result when substituting -2 for X after simplification?

• -4

• 0

• 2

• 4