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Factor and show your work 216x^3 - 1

User Mostafiz
by
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1 Answer

4 votes

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)

User DurkoMatko
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