Factoring sum of cubes

Lessons

• Introduction
  Introduction to factoring sum of cubes

  i. What is sum of cubes?

  ii. How can sum of cubes be factored?

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• 1.
  Factoring Using the Sum of Cubes Formula

  Factor the following expressions:

  a)

  $x^{3} + 125$
  
  
  b)

  $x^{3} + \frac{8}{27}$
  
  

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• 2.
  Factoring Using the Sum of Cubes Formula - Extended

  Factor the following expressions:

  a)

  $64x^{3} + 1$
  
  
  b)

  $125x^{6} + 8$
  
  

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• 3.
  Factoring Binomials with 2 variables

  Factor the following expressions:

  a)

  $8x^{6} + 27y^{9}$
  
  
  b)

  $x^{12}y^{6} + 64$
  
  

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• 4.
  First Factor the Greatest Common Factor, Then Apply the Sum of Cubes Formula

  Factor the following expressions:

  a)

  $-x^{3} - 8$
  
  
  b)

  $54x^{3} + 128$
  
  
  c)

  $81x^{10}y + 24xy^{7}$
  
  

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• 5.
  Making a Conclusion on Factoring Binomials

  Overview – Factoring Binomials

  i. How to identify which formulas to use?

  ii. What are the aspects we need to consider before factoring?

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