Multiplying and Simplifying Rational Expressions

This video tutorial covers operations with rational functions, including addition, subtraction, multiplication, and division of algebraic fractions. It begins with a review of adding and subtracting regular fractions, emphasizing the need for common denominators. The tutorial then explains how to add and subtract rational expressions, including factoring and simplifying. It also covers multiplying and dividing rational expressions, highlighting the importance of factoring and using the reciprocal for division. The video provides step-by-step examples for each operation, ensuring a comprehensive understanding of the concepts.

What is the first step in adding or subtracting regular fractions?

• Divide the denominators

• Find a common denominator

• Simplify the fractions

• Multiply the numerators

When adding rational expressions, what must be done after finding a common denominator?

• Simplify the denominators

• Divide the denominators

• Multiply the numerators

• Combine the fractions into a single fraction

In the example of adding rational expressions, what is the common denominator used?

• n - 9 times n + 8

• n - 9

• n + 8

• n + 9 times n - 8

In the example of adding rational expressions, what is the simplified form of 2N - 10 over N - 9 times N + 8?

• N + 5 over N - 9 times N + 8

• 2(N - 5) over N - 9 times N + 8

• 2N - 10 over N - 9 times N + 8

• N - 5 over N - 9 times N + 8

What is the first step in multiplying rational expressions?

• Add the numerators

• Divide the denominators

• Find a common denominator

• Factor the numerators and denominators

In the example of multiplying rational expressions, what is the factored form of K^2 - 64?

• K + 8 times K - 9

• K - 8 times K + 8

• K + 8 times K + 8

• K - 8 times K - 8

What is the easiest way to divide rational expressions?

• Subtract the denominators

• Add the numerators

• Find a common denominator

• Multiply by the reciprocal

In the example of dividing rational expressions, what is the reciprocal of 3/8?

• 44/27

• 27/44

• 3/8

• 8/3

What is the result of multiplying 3/8 by 44/27?

• 11/18

• 18/11

• 27/44

• 44/27

What is the final step in simplifying rational expressions?

• Find a common denominator

• Cancel common factors

• Add the numerators

• Factor the numerators and denominators