How to identify when it is a hole or a fake hole

The video tutorial covers the process of factoring expressions and the conditions under which division properties can be applied. It explains the concept of removable discontinuities, also known as holes, and addresses common misconceptions about when a discontinuity occurs. The tutorial emphasizes that a discontinuity only exists if it makes the denominator zero, using examples to clarify these points. The session concludes with a simplified example to reinforce the learning.

Why is the number 3 not considered a discontinuity despite being divided out?

What is the simplified answer for the expression discussed, and what does it indicate about discontinuities?