Simplifying Rational Expressions

This video tutorial explains how to subtract rational expressions by first factoring the denominators to find a common denominator. It then demonstrates multiplying and subtracting the numerators, followed by simplifying the resulting expression. The tutorial emphasizes the importance of factoring to determine if further simplification is possible.

What is the first step in subtracting rational expressions?

• Add the numerators

• Multiply the denominators

• Divide the expressions

• Find a common denominator

When factoring the denominator of the first rational expression, which factors are used for 15x squared?

• 5x and 5x

• 4x and 6x

• 3x and 5x

• 2x and 7x

What is the purpose of factoring the denominators in rational expressions?

• To divide the expressions

• To add the expressions

• To find a common denominator

• To simplify the numerators

Which factor is missing in the first fraction that requires multiplication to find the least common denominator?

• 4x plus 5

• 3x plus 4

• 5x plus 6

• 5x plus 3

What is the common denominator obtained for the rational expressions?

• 3x plus 4 times 5x plus 6 times 5x plus 3

• 3x plus 4 times 5x plus 6

• 5x plus 3 times 4x plus 5

• 5x plus 6 times 5x plus 3

What operation is performed after obtaining a common denominator?

• Multiply the denominators

• Subtract the numerators

• Divide the expressions

• Add the numerators

How do you simplify the expression after multiplying the numerators?

• By adding the terms

• By dividing the terms

• By factoring the denominator

• By clearing the parentheses and combining like terms

What is the result of combining the x squared terms in the numerator?

• 16x squared

• 12x squared

• 13x squared

• 25x squared

What is the final step in simplifying the rational expression?

• Check for common factors between numerator and denominator

• Add a new term to the numerator

• Multiply the expression by a constant

• Divide the expression by a constant

What indicates that the rational expression cannot be simplified further?

• The expression is already in simplest form

• There are no common factors between the numerator and denominator

• The numerator is larger than the denominator

• The denominator is a prime number