Learn how to simplify a complex rational expression by multiplying by the LCD

The video tutorial explains how to handle complex fractions by identifying the least common multiple (LCM) and using it to simplify the expression. It covers factoring techniques, applying the distributive property, and simplifying the resulting expression. The tutorial emphasizes the importance of using the LCM to manage complex fractions effectively.

What is the first step in simplifying complex fractions?

• Multiply the fractions

• Identify the LCM

• Add the fractions

• Subtract the fractions

How do you determine the LCM when dealing with expressions like X^2 - 9?

• By subtracting the terms

• By multiplying the terms

• By factoring the expression

• By adding the terms

What property must be applied when multiplying the LCM across terms separated by addition or subtraction?

• Associative Property

• Identity Property

• Commutative Property

• Distributive Property

What is the result of applying the distributive property to the expression 2 * (X + 3) + 3X?

• 5X + 3

• 2X + 6 + 3X

• 5X + 9

• 2X + 3

What is the final simplified form of the expression given in the tutorial?

• 5X - 6 / -X + 9

• 5X - 6 / X + 9

• 5X + 6 / -X - 9

• 5X + 6 / X - 9