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

1 Answer
May 29, 2018

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

Explanation:

y = (3x + 4)^3 - (2x + 3)^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 = 27x^3 + 64 + 108x^2 + 48x - 4x^2 - 24x - 9

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