Adding and Subtracting Rational Expressions with Unlike Denominators

This video tutorial covers lesson 2.4 on adding and subtracting fractions with unlike denominators. It begins with an introduction to the topic, followed by detailed steps on factoring denominators using the AM method. The tutorial then explains how to match factors and find the least common denominator (LCD). It demonstrates combining fractions with the same denominator and concludes with a section on subtracting fractions using the 'keep change change' method.

What method is used to factor trinomials with a leading coefficient of one?

• Quadratic method

• AM method

• Splitting the middle term

• Difference of squares

What must be true for two numbers that multiply to a positive number and add to a negative number?

• Both numbers are positive

• Both numbers are negative

• It depends on the numbers

• One number is positive and the other is negative

Why do we multiply the same factor in the numerator and the denominator?

• To change the value of the fraction

• To make the numerators match

• To make the denominators match without changing the fraction's value

• To simplify the fraction

What does LCD stand for in the context of adding fractions?

• Lowest Common Denominator

• Least Common Divisor

• Lowest Calculated Denominator

• Least Common Denominator

What is the final step after finding the LCD and adjusting the fractions?

• Simplify the fraction

• Factor the numerator

• Add the fractions

• Multiply the numerators

What technique is suggested to avoid mistakes in subtracting fractions?

• Keep, change, change

• Cross-multiplication

• Direct subtraction

• Factorization

What does the 'keep, change, change' technique involve?

• Keeping the denominator, changing the numerator

• Keeping the numerator, changing the denominator

• Changing both numerators and denominators

• Changing subtraction to addition and changing signs

How do you find the LCD when subtracting fractions?

• By subtracting denominators

• By finding common factors

• By adding denominators

• By multiplying denominators

What should you do if the numerators are complex after finding the LCD?

• Simplify the numerators

• Ignore the complexity

• Change the denominators

• Recalculate the LCD

What is the final step in simplifying fractions after adjusting for the LCD?

• Divide the numerator by the denominator

• Add the numerators

• Multiply the denominators

• Combine like terms in the numerator