# 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