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

1 Answer
Kalyanam S.
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.

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