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learn how to factor using the difference of two cubes

learn how to factor using the difference of two cubes

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 64?

2

5

3

4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of B^9?

B^4

B^3

B^2

B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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)

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