Rational Expressions and Simplification

The video tutorial from MooMooMath teaches how to simplify expressions with variables, focusing on rational expressions, which are essentially fractions. It provides two examples, demonstrating the use of factor trees to break down numerators and denominators into their prime factors. The tutorial explains how to cancel out common factors in the numerator and denominator to simplify the expression. The final simplified forms of the expressions are presented, emphasizing the process of multiplication of remaining factors.

What is another name for a rational expression?

• Inequality

• Polynomial

• Fraction

• Equation

What is the first step in simplifying the expression 24x^5y^6/15x^2y^4?

• Add the coefficients

• Multiply the variables

• Create a factor tree for the numerator

• Divide the coefficients

How many x's are in the numerator of the expression 24x^5y^6?

• 5

• 3

• 6

• 2

What happens when you divide a number by itself?

• It doubles

• It remains unchanged

• It becomes zero

• It becomes one

What is the simplified form of the expression 24x^5y^6/15x^2y^4?

• 8x^2y^2/5

• 8x^3y^2/5

• 8x^2y^3/5

• 8x^3y^4/5

What is the factor tree breakdown of 16 in the second example?

• 2 x 8

• 2 x 4 x 2

• 2 x 2 x 2 x 2

• 4 x 4

How many c's are in the numerator of the second example?

• 3

• 6

• 4

• 5

What is the factor tree breakdown of 20 in the second example?

• 5 x 4

• 2 x 2 x 5

• 4 x 5

• 2 x 10

What is the simplified form of the expression in the second example?

• 4a^3/5b^2

• 4a^2/5b^2

• 4a^2/5b^3

• 4a^3/5b

What happens to the c's in the second example during simplification?

• They are doubled

• They remain unchanged

• They are canceled out

• They are added