The video tutorial explains how to simplify a rational expression by breaking it into parts. It starts with an example of a rational expression and demonstrates how to simplify it by dividing it into three groups: coefficients, x terms, and y terms. Each group is simplified individually, and the final simplified expression is presented. The tutorial also covers identifying non-permissible values to ensure the expression remains valid.

What is the main focus when simplifying a rational expression in this tutorial?

• Subtracting like terms

• Isolating like pairs of terms

• Multiplying like terms

• Adding like terms

What is the first step in simplifying a rational expression?

• Adding terms

• Dividing terms

• Identifying like pairs

• Multiplying terms

In the example given, what is the original rational expression?

• 9x^4y / 12x^3y^2

• 12x^4y / 9x^3y^2

• 12x^3y^2 / 9x^4y

• 12x^2y / 9x^3y^2

How many groups is the expression divided into for simplification?

• Two

• Five

• Three

• Four

What is the simplified form of the fraction 12/9?

• 4/3

• 2/3

• 3/2

• 5/3

What is the equivalent fraction of 12/9 after simplification?

• 4/3

• 2/3

• 5/3

• 3/4

What happens to the x terms when simplifying x^3/x^4?

• They double in the numerator

• One x remains in the numerator

• They cancel completely

• One x remains in the denominator

How do you express x^3 in terms of multiplication?

• x * x

• x * x * x

• 3x

• x + x + x

What is left in the numerator after simplifying y^2/y?

• y

• y^2

• 0

• 1

What is the result of simplifying y^2/y?

• 1

• y

• y^2

• 0