Combining rational expression with like denominators

The video tutorial explains how to add rational expressions with like denominators. It emphasizes the importance of ensuring that denominators are the same before performing operations on the numerators. The tutorial demonstrates the process of adding numerators and keeping the denominator unchanged, followed by simplifying the expression. It also highlights the need to consider restrictions, such as ensuring the variable does not equal zero, to avoid division by zero. The tutorial concludes with a summary of the steps involved in adding rational expressions with like denominators.

What is the first step when adding rational expressions?

• Ensure the numerators are the same

• Ensure the denominators are the same

• Multiply the expressions

• Subtract the expressions

Once the denominators are the same, what should you do next?

• Multiply the numerators

• Subtract the numerators

• Add the numerators

• Divide the numerators

How do you simplify the expression 20/4X?

• X/5

• 20X/4

• 5/X

• 4/20X

Why is it important to consider restrictions in rational expressions?

• To ensure the expression is positive

• To simplify the expression

• To avoid division by zero

• To make the expression complex

What restriction should be applied to the expression 5/X?

• X cannot be 1

• X cannot be negative

• X must be greater than 5

• X cannot be zero