What is the standard form of # y= (x - 8) (x -1)^2 #?

1 Answer
Feb 24, 2016

#y = x^3 -10x^2 +17x-8#

Explanation:

Step 1: Multiply and expand the function and combine like terms

#y= (x-8)(x-1)^2#

#y = (x-8)(x-1)(x-1)#
#y= (x^2-8x-x+8)(x-1)#
#y= (x^2 -9x +8)(x-1)#

*Step 28: Multiply and expand and combine like terms like this

#y= (x^2 -9x +8)(x-1)#

#y = (x^3 -x^2 -9x^2 +9x +8x-8)#
#y = x^3 -10x^2 +17x-8#