Rational Expressions and Factoring

The video tutorial explains how to add and subtract rational expressions by ensuring like denominators. It provides two examples: one for addition and another for subtraction, emphasizing the importance of using parentheses and factoring for simplification. The tutorial highlights the need to factor numerators to simplify expressions and demonstrates how to handle negative signs during subtraction.

What is necessary for adding or subtracting rational expressions?

• Different denominators

• Same numerators

• Like denominators

• Different numerators

When adding rational expressions, what happens to the denominators?

• They are subtracted

• They are multiplied

• They remain the same

• They are added together

In the first example, what is the result of combining 2x and 4x?

• 4x

• 8x

• 2x

• 6x

Why is it important to factor the numerator in the first example?

• To add more terms

• To make the expression longer

• To simplify the expression

• To change the denominator

What is the common factor between 6x and 24 in the first example?

• 2

• 6

• 4

• 3

In the second example, what is the initial common denominator?

• 10

• 15

• 3

• 5

What happens to the signs of terms when subtracting rational expressions?

• They remain the same

• They are halved

• They are doubled

• They change

What is the greatest common factor in the second example's numerator?

• 15

• 5

• 3

• 10

What is the result of factoring out -5 in the second example?

• X + 2

• X - 2

• -X + 2

• -X - 2

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

• Negative the quantity X - 2/3

• Positive the quantity X + 2/3

• Negative the quantity X + 2/3

• Positive the quantity X - 2/3