Simplifying Rational Expressions

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