text: # What is the standard form of  y=(x + 2)(x + 2)-x^3+(x-3)^2 ?
  
  May 29, 2018
  
  color(indigo)(y = -x^3 + 2x^2 -2x + 13 is the standard form
  
  #### Explanation:
  
  $y = \left(x + 2\right) \left(x + 2\right) - {x}^{3} + {\left(x - 3\right)}^{2}$
  
  $y = {\left(x + 2\right)}^{2} - {x}^{3} + {\left(x - 3\right)}^{2}$
  
  $y = {x}^{2} + 4 x + 4 - {x}^{3} + {x}^{2} - 6 x + 9$
  
  color(indigo)(y = -x^3 + 2x^2 -2x + 13# is the standard form