What is the standard form of # y= (-10x-1)^3+(-3x+1)^2#?

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Answer 1 · 2017-10-24T12:23:25

#y= -1000x^3-291x^2-36x#

Standard form cubic equation is #ax^3+bx^2+cx+d#

#y= (-10x-1)^3+(1-3x)^2# or

#y= -(10x+1)^3+(1-3x)^2 #

#y= -{(10x)^3+3(10x)^2*1+3*10x*1^2+1^3}+1-6x+9x^2#
#[(a+b)³=a³+3a²b+3ab²+b³]#

#y= -(1000x^3+300x^2+30x+1)+1-6x+9x^2)#

#y= -1000x^3-300x^2-30x-cancel1+cancel1-6x+9x^2#

#y= -1000x^3-291x^2-36x# [Ans]