What is the division property for rational expressions

The video tutorial explains the division property, which states that any number or polynomial divided by itself equals one. This property is crucial for simplifying rational expressions. The instructor demonstrates this concept with two examples: one involving fractions and another involving polynomials. The first example simplifies a fraction by applying the division property to both numbers and variables. The second example simplifies a polynomial expression, showing how identical polynomials can be divided to simplify the expression. The video emphasizes the importance of this property in solving problems involving rational expressions.

What is the division property for any number when a number is divided by itself?

How does the division property apply to polynomials?

What happens when you divide two different polynomials according to the division property?

In the example given, what is the final simplified answer for the expression involving 30 and 6?

Explain the significance of the division property in simplifying rational expressions.