SOLUTION: Sum or Difference of Cubes: Example 3.Fill in the parts of the step-by-step process of factoring a difference of cubes. We want to factor x^3-8 Step 1: Is this a

Question 1139471: Sum or Difference of Cubes:
Example 3.Fill in the parts of the step-by-step process of factoring a difference of cubes.
We want to factor x^3-8
Step 1: Is this a sum or difference of cubes? Y or N?___
If Yes, construct a template for the sum or difference of two cubes.
a^3+b^3 OR a^3-b^3

Step 2:
(__)^3+(__)^3 or (___)^3-(___)^3 Fill in the appropriate bases.
Step 3: Use this pattern to construct the templates
(a^3+b^3)=(a+b)(a^2-ab+b^2) OR (a^3-b^3)=(a-b)(a^2+ab+b^2)
a+b a^2-ab+b^2 OR a-b a^2+ab+b^2

Step 4:(_______)(__________) or (_____)(_____)Insert the bases in the template.
Step 5: Write the factors of x^3-8=
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Make an effort.

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

1. The cube of the sum formula is                 .
      For details and examples of applications of this formula see the lesson The cube of the sum formula in this site.

2. The cube of the difference formula is     .
      For details and examples of applications of this formula see the lesson The cube of the difference formula in this site.

3. The sum of cubes formula is                       .
      For details and examples of applications of this formula see the lesson The sum of cubes formula in this site.

4. The difference of cubes formula is           .
      For details and examples of applications of this formula see the lesson The difference of cubes formula in this site.

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SOLUTION: Sum or Difference of​ Cubes: Example 3.Fill in the parts of the​ step-by-step process of factoring a difference of cubes. We want to factor x^3-8 Step​ 1: Is this a

SOLUTION: Sum or Difference of Cubes: Example 3.Fill in the parts of the step-by-step process of factoring a difference of cubes. We want to factor x^3-8 Step 1: Is this a