text: # What is the standard form of y= 2(x-3)^3-x?
  
  Jul 25, 2016
  
  $y = 2 {x}^{3} - 18 {x}^{2} + 53 x - 54$
  
  #### Explanation:
  
  Since ${\left(a + b\right)}^{3} = {a}^{3} + 3 {a}^{2} b + 3 a {b}^{2} + {b}^{3}$, you can write
  
  $y = 2 \left({x}^{3} - 9 {x}^{2} + 27 x - 27\right) - x$
  
  and then multiply:
  
  $y = 2 {x}^{3} - 18 {x}^{2} + 54 x - 54 - x$
  
  $y = 2 {x}^{3} - 18 {x}^{2} + 53 x - 54$
  
  that's the standard form
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