learn how to factor using the difference of two cubes

The video tutorial explains how to factor the expression A^3 - 64B^9 by rewriting it as a difference of cubes. The teacher guides students through identifying the terms, solving for variables A and B, and applying the appropriate formula to achieve the factored form. The lesson concludes with a reminder about a similar homework problem.

What is the initial problem that needs to be factored?

• A^2 - 64B^8

• A^3 - 64B^9

• A^3 - 64B^8

• A^3 + 64B^9

Why can't the expression A^3 - 64B^9 be factored using the difference of squares?

• Because the terms are not integers

• Because the expression is already factored

• Because both terms are not perfect cubes

• Because both terms are not perfect squares

What is the cube root of 64?

• 2

• 5

• 3

• 4

What is the cube root of B^9?

• B^4

• B^3

• B^2

• B

What is the final factored form of A^3 - 64B^9?

• (A - 4B^3)(A^2 + 4AB^3 + 16B^6)

• (A - 4B)(A^2 + 4AB + 16B^2)

• (A + 4B^3)(A^2 - 4AB^3 + 16B^6)

• (A + 4B)(A^2 - 4AB + 16B^2)