Rational Expressions and Simplification

The video tutorial explains how to add and subtract rational expressions with like denominators. It provides two examples: one for addition and one for subtraction. In both cases, the process involves keeping the denominator the same and performing operations on the numerators. The tutorial also covers simplifying the results by identifying common factors. The video concludes with a brief summary of the steps involved.

What is necessary to add or subtract rational expressions?

• Different denominators

• Same numerators

• Common denominators

• Different numerators

In the first example, what remains unchanged when adding rational expressions with like denominators?

• Numerator

• Denominator

• Both numerator and denominator

• None

What is the result of combining like terms in the numerator of the first example?

• 9x

• 7x

• 9x + 7

• 6x + 3x

What is the simplified form of the expression 9x/7x²?

• 9/7

• 7/9x

• x/7

• 9/7x

What is the common factor identified in the simplification of the first example?

• z

• y

• x

• w

In the second example, what is the common denominator?

• 7y

• 7x

• 5y

• 5x

What operation is performed on the numerators in the second example?

• Addition

• Multiplication

• Subtraction

• Division

What is the result of combining like terms in the numerator of the second example?

• 6y²

• 3y²

• 9y²

• 0

What is the simplified form of the expression 6y²/5y?

• 5y/6

• 5/6y

• 6y/5

• 6/5

What is the common factor identified in the simplification of the second example?

• y

• x

• w

• z