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

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

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