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Factoring by using a sum of cubes - Online tutor

Factoring by using a sum of cubes - Online tutor

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to factor a sum of cubes using a specific formula. It begins with an introduction to the problem, followed by an explanation of the abstract formula used for factoring. The teacher then demonstrates the factoring process, including identifying terms that can be rewritten as cubes. Finally, the formula is applied to solve the problem, resulting in a factored expression.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial expression given in the problem statement?

343 + X^3

343X + X^3

343X + X^4

343 + X^4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using the sum of cubes formula?

Rewrite the expression

Factor out the greatest power factor

Identify U and V values

Check the calculator

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of U in the sum of cubes formula for this problem?

343

X^3

7

X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of V in the sum of cubes formula for this problem?

343

7

X

X^4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final factored form of the expression using the sum of cubes?

(7 + X)(49 + 7X + X^2)

(7 + X)(49 - 7X + X^2)

(7 - X)(49 - 7X + X^2)

(7 - X)(49 + 7X + X^2)

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