How do you simplify #(-3x + 1)^3#?

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Answer 1 · 2017-04-23T03:50:09

#-27x^3+27x^2-9x+1#

Given -

#(-3x+1)^3#

It is like #(a+b)^3#
#(a+b)^3 = a^3+3a^2b+3ab^2+b^3#

In the given expression -

#a=-3x^2#
#b=1#

Use the standard binomial expansion to simplify the given expression.

#(-3x)^3+[3.(-3x)^2.1]+[3.(-3x).1^2]+1^3#

On simplifying you get

#-27x^3+27x^2-9x+1#