How to simplify using the distributive property

The video tutorial explains the distributive property, a key concept in algebra. It demonstrates how to apply this property to simplify expressions by distributing a term outside the parentheses to each term inside. The tutorial includes examples to illustrate the process, highlighting the importance of recognizing like terms and the effect of negative signs during multiplication.

What is the basic principle of the distributive property?

• Dividing a term by each term inside parentheses

• Multiplying a term by each term inside parentheses

• Adding terms inside parentheses

• Subtracting terms inside parentheses

In the expression 3 * (X + 2), what is the result after applying the distributive property?

• 3X + 2

• X + 6

• 3 + 2X

• 3X + 6

Why can't the terms 3X and 6 be combined in the expression 3X + 6?

• They are not like terms

• They are both constants

• They are already simplified

• They are both variables

How does a negative sign affect the distributive property?

• It only affects the first term

• It changes the signs of the terms inside the parentheses

• It changes all signs to positive

• It has no effect

What happens when you distribute a negative number across multiple terms?

• The signs of the terms are reversed

• All terms become positive

• Only the first term is affected

• The terms remain unchanged