Exploring Double Distribution and Binomial Multiplication

The video tutorial introduces the concept of double distribution in algebra, explaining how to distribute two terms across parentheses. It provides multiple examples, starting with simple binomials and progressing to more complex problems, including squared binomials and triple terms. Each example is broken down step-by-step, demonstrating how to distribute terms and combine like terms to simplify expressions. The tutorial concludes with a summary of the key steps involved in double distribution.

What is the result of distributing x in the expression (x + 2)(x - 5)?

• x^2 + x - 10

• x^2 - 3x - 10

• x^2 + 3x - 10

• x^2 - 5x + 2

What does squaring a binomial like (2x + 4)^2 involve?

• Squaring each term separately

• Adding 2x to 4

• Multiplying 2x by 4

• Writing it as (2x + 4)(2x + 4)

After distributing in (2x + 4)^2, what is the coefficient of the x term?

• 12

• 4

• 16

• 8

In the expression (3x + 9)(8x - 2), what is the coefficient of the x term after simplification?

• 18

• 24

• 72

• 66

What is the constant term in the simplified form of (3x + 9)(8x - 2)?

• -18

• -24

• 18

• 24

How do you handle the distribution when there are three terms in the second parentheses?

• Combine the terms first

• Distribute each term in the first parentheses to all terms in the second

• Only distribute the first term

• Ignore the third term

What is the result of distributing x in the expression (x + 2)(x^2 + 4x + 5)?

• x^3 + 4x^2 + 9x + 10

• x^3 + 6x^2 + 13x + 10

• x^3 + 5x^2 + 8x + 10

• x^2 + 6x + 10

What is the highest degree of x in the final expression of (6x - 3)(5x^2 - 4x + 10)?

• x

• No x term

• x^3

• x^2

What is the coefficient of the x^2 term in the final expression of (6x - 3)(5x^2 - 4x + 10)?

• 30

• -24

• -39

• 15

What is the constant term in the final expression of (6x - 3)(5x^2 - 4x + 10)?

• 30

• -30

• 15

• -15