# What is the standard form of  y= (3x+4)^3-(2x+3)^2?

May 29, 2018

color(maroon)(y = 27x^3 + 104x^2 + 24x + 55 is the standard form.

#### Explanation:

$y = {\left(3 x + 4\right)}^{3} - {\left(2 x + 3\right)}^{2}$

color(crimson)((a + b)^3 = a^3 + b^3 + 3a^2b + 3ab^2, identity

color(purple)((x + y)^2 = x-^2 + 2xy + y^2, identity

$y = 27 {x}^{3} + 64 + 108 {x}^{2} + 48 x - 4 {x}^{2} - 24 x - 9$

color(maroon)(y = 27x^3 + 104x^2 + 24x + 55 is the standard form.