What are the formulas for the sum and difference of two cubes

The video tutorial reviews the special factoring technique of the difference of two squares, explaining how it can be factored into (A - B)(A + B). It then introduces the concept of factoring the difference and sum of two cubes, providing the factored forms for each. The instructor emphasizes the importance of identifying the values of A and B to solve these problems effectively.

What is the factored form of the expression a^2 - b^2?

• (a + b)(a + b)

• (a - b)(a - b)

• (a + b)(a - b)

• a^2 + b^2

Which of the following is a factored form for the difference of two cubes?

• (a - b)(a^2 + ab + b^2)

• (a + b)(a^2 + ab + b^2)

• (a + b)(a^2 - ab + b^2)

• (a - b)(a^2 - ab + b^2)

What is the factored form for the sum of two cubes?

• (a + b)(a^2 - ab + b^2)

• (a - b)(a^2 + ab + b^2)

• (a + b)(a^2 + ab + b^2)

• (a - b)(a^2 - ab + b^2)

When solving problems involving the difference or sum of cubes, what is the first step?

• Add the terms together

• Subtract the terms

• Multiply the terms directly

• Identify the values of A and B

After identifying A and B in a cubic expression, what should you do next?

• Plug the values into the factored form

• Square the terms

• Ignore the values

• Divide the terms by A