Adding and Simplifying Rational Expressions

This video tutorial explains how to add two rational expressions by finding a common denominator, combining the expressions, and simplifying the result. The process involves factoring the denominators, ensuring both expressions have the same denominator, and then focusing on the numerators. The tutorial concludes with a final simplification step, demonstrating how to cancel common factors in the numerator and denominator.

What is the first step in adding two rational expressions?

• Subtract the denominators

• Divide the expressions

• Find a common denominator

• Multiply the numerators

Why is it important to factor the denominators when adding rational expressions?

• To find a common denominator

• To simplify the numerators

• To multiply the expressions

• To divide the expressions

What does the expression y^2 - 25 factor into?

• (y + 15)(y - 10)

• (y + 10)(y - 2)

• (y + 25)(y - 1)

• (y + 5)(y - 5)

What should be done to the first rational expression to achieve a common denominator?

• Add y + 5 to the numerator

• Multiply both numerator and denominator by y + 5

• Subtract y - 5 from the denominator

• Divide the numerator by y + 5

Once the denominators are the same, what is the next step?

• Divide the numerators

• Focus on the numerators

• Multiply the expressions

• Focus on the denominators

What is the purpose of factoring the numerator after combining the expressions?

• To multiply the expressions

• To divide the expressions

• To simplify the expression further

• To find a common denominator

What common factor is found in both the numerator and the denominator?

• y - 10

• y + 5

• y - 5

• y + 10

What is the final simplified form of the expression?

• (y + 5)/(y + 10)

• (y - 5)/(y + 10)

• (y + 10)/(y + 5)

• (y - 10)/(y - 5)

Where can you find more videos on similar topics?

• mathsecrets.com

• learnmath.com

• mathvideos.com

• mysecretmathtutor.com