Question

Factor and show your work 216x^3 - 1

Answer 1

Given the expression :

`216x^3-1`

We need to factor the given expression, it it a difference of cubic :

So, we should know that :

`x^3-a^3=(x-a)\cdot(x^2+ax+a^2)`

For the given expression :

`\begin{gathered} 216x^3=6x\cdot6x\cdot6x \\ \end{gathered}`

So, the factors will be :

`(216x^3-1)=(6x-1)(36x^2+6x+1)`