Factoring difference of cubes

Lessons

• Introduction
  Introduction to Factoring difference of cubes

  i. What is difference of cubes?

  ii. How can difference of cubes be factored?

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• 1.
  Factoring Using the Difference of Cubes Formula

  Factor the following expressions:

  a)

  $x^{3} - 8$
  
  
  b)

  $x^{3} - \frac{1}{27}$
  
  

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

  Factor the following expressions:

  a)

  $27y^{3} - 1$
  
  
  b)

  $8x^{3} - 27$
  
  

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• 3.
  Factoring Binomials with 2 variables

  Factor the following expressions:

  a)

  $27x^{3} - 64y^{3}$
  
  
  b)

  $x^{3}y^{6} - 125$
  
  

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

  Factor the following expressions:

  a)

  $16x^{3} - 54$
  
  
  b)

  $-8x^{3} + 1$
  
  
  c)

  $81x^{4} - 3xy^{3}$
  
  

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