How to Use the Distributive Property with a Trinomial

The video tutorial explains the distributive property, emphasizing the need to multiply a number or variable outside the parentheses by each term inside. It demonstrates this with examples, including handling negative numbers and common mistakes. The tutorial also covers multiplication rules and exponents, showing how to simplify expressions by adding exponents when bases are the same. The session concludes with a recap and clarification of common confusions, ensuring a clear understanding of the concepts.

What is the main principle of the distributive property?

• Adding terms inside the parentheses

• Multiplying the term outside the parentheses with each term inside

• Subtracting terms inside the parentheses

• Dividing the term outside the parentheses by each term inside

How should you handle a negative sign outside the parentheses when using the distributive property?

• Ignore the negative sign

• Add the negative sign to each term inside the parentheses

• Only apply the negative sign to the first term inside the parentheses

• Multiply each term inside the parentheses by -1

In the expression 2M^2 * (3M - 5), what is the result of distributing 2M^2?

• 6M^3 + 10M^2

• 5M^3 - 10M^2

• 6M^2 - 10M

• 6M^3 - 10M^2

What is the rule for multiplying terms with the same base and exponents?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

What is the final expression after applying the distributive property and exponent rules to 2M^2 * (2M^2 + 3M - 5)?

• 4M^4 + 6M^3 - 10M^2

• 4M^3 + 6M^4 - 10M^2

• 4M^3 + 6M^2 - 10M

• 4M^4 + 6M^2 - 10M^3