Cubing a Binomial Using the Box Method

This video tutorial from Mumo Math and Science explains how to cube a binomial using the box method. The instructor breaks down the process into two phases, starting with multiplying two binomials and then expanding to complete the cube. The tutorial emphasizes combining like terms and provides a step-by-step guide to ensure accuracy. The video concludes with a reminder to practice kindness.

What is the initial expression we are trying to cube using the box method?

• x + 2

• x + 3

• x + 4

• x + 5

In the first phase of the box method, what do we multiply together first?

• x + 4 and x + 4

• x + 2 and x + 3

• x + 3 and x + 4

• x + 3 and x + 3

After multiplying the first two binomials, what is the resulting expression before combining like terms?

• x^2 + 3x + 9

• x^2 + 6x + 6

• x^2 + 6x + 9

• x^2 + 9x + 9

What is the next step after obtaining x^2 + 6x + 9 in the first phase?

• Multiply by x + 5

• Multiply by x + 4

• Multiply by x + 3

• Multiply by x + 2

In the second phase, what is the first term obtained when multiplying x with x^2 + 6x + 9?

• 6x^2

• x^2

• x^3

• 9x

What is the result of multiplying 3 with 6x in the second phase?

• 21x

• 18x

• 15x

• 12x

What is the final expression after combining all like terms?

• x^3 + 6x^2 + 27x + 27

• x^3 + 9x^2 + 27x + 27

• x^3 + 6x^2 + 18x + 27

• x^3 + 9x^2 + 18x + 27

What is the purpose of using the box method in this video?

• To factor polynomials

• To solve equations

• To multiply binomials easily

• To simplify addition

What is the final step in the box method as shown in the video?

• Adding a new term

• Drawing another box

• Combining like terms

• Multiplying by a constant

What is the key takeaway message at the end of the video?

• Always double-check your work

• Math is fun

• Kindness multiplies kindness

• Practice makes perfect