What is the standard form of #y= (x^2-1)(3x-1) + (x+1)^2#?

1 Answer
Nov 20, 2015

#y=3x^3-x+2#

Explanation:

Given #(color(blue)(x^2-1))(3x-1) + (color(red)(x+1))(x+1)#

#y= color(blue)(x^2)(3x-1) color(blue)(-1)(3x-1)color(red)(+x)(x+1)color(red)(+1)(x+1)#

#y=(3x^3-x^2)+(-3x+1)+(x^2+x)+(x+1)#

Collecting like terms

#y= 3x^3 +(-x^2+x^2)+(-3x+x+x)+(1+1)#

#y=3x^2+0-x+2#

#y=3x^3-x+2#