Factoring Cubes and Trinomials

The video tutorial explains how to factor sums and differences of cubes into binomials and trinomials. It provides formulas for both cases and demonstrates the process with two examples: factoring X^3 + 64 and 8X^3 - 27. The tutorial emphasizes recognizing perfect cubes and applying the appropriate formulas to achieve the correct factors.

What is the binomial factor for a sum of cubes in the form A^3 + B^3?

• A - B

• A^2 + AB + B^2

• A + B

• A^2 - AB + B^2

Which of the following is the trinomial factor for a difference of cubes in the form A^3 - B^3?

• A^2 - AB + B^2

• A^2 + AB + B^2

• A + B

• A - B

In the expression X^3 + 64, what is the value of B?

• 8

• 16

• 4

• 2

What is the first term of the trinomial factor when factoring X^3 + 64?

• X^2

• 4X

• 16

• X + 4

How can 8X^3 be expressed as a perfect cube?

• (3X)^3

• (4X)^3

• (X)^3

• (2X)^3

What is the binomial factor for the expression 8X^3 - 27?

• X + 3

• 2X + 3

• X - 3

• 2X - 3

In the expression 8X^3 - 27, what is the value of A?

• 3

• 3X

• 2

• 2X

What is the value of B^2 in the trinomial factor for 8X^3 - 27?

• 6

• 9

• 12

• 27

Which of the following is a perfect cube?

• 64

• 27

• 16

• 81

What is the trinomial factor for the expression 8X^3 - 27?

• 4X^2 + 6X + 9

• X^2 + 6X + 9

• X^2 - 6X + 9

• 4X^2 - 6X + 9