How to factor a polynomial using the difference of two cubes

The video tutorial explains the concept of cube numbers and how to identify them. It covers the difference of cubes and demonstrates how to find cube roots. The teacher guides students through solving a problem using these concepts and provides instructions for homework assignments.

What is the first step in determining if a number can be expressed as a difference of cubes?

• Find the square root of each number

• Add the numbers together

• Determine if each number is a cube

• Check if both numbers are even

What is the cube root of 64?

• 2

• 3

• 4

• 5

If a^3 = X^3, what is the value of 'a'?

• 4

• 64

• 3

• X

What expression do you get when you replace 'a' with X and 'b' with 4 in the difference of cubes formula?

• X - 4 = X^2 + 4X + 16

• X - 4 = X^2 - 4X + 16

• X - 4 = X^2 + 4X - 16

• X - 4 = X^2 - 4X - 16

What is the final step in simplifying the expression using the difference of cubes?

• Multiply the terms

• Divide the terms

• Add the terms

• Factor using the difference of squares