Question 647905
Original equation: {{{(x^2 + x + 1)(x -1)}}}

Step 1: Distribute every term on the left side to everything on the right side like so:

{{{(x^2 + x + 1)(x -1)}}}

You must multiply {{{x^2)}}} to the {{{x}}} and to the {{{-1}}}.

Then, you move on to the {{{x}}} and multiply it with the {{{x}}} from the other equation and to the {{{-1}}} in the other equation as well.
Lastly, distribute the {{{1}}} to the {{{x}}} in the other equation and the {{{-1}}}

After distributing you get: {{{x^3 - x^2 + x^2 - x + x - 1}}}

Step 2: Combine like terms

{{{x^3 - x^2 + x^2 - x + x - 1}}}

The {{{- x^2 + x^2}}} cancel out and so does the {{{- x + x}}}

Your answer should look like this: {{{x^3 - 1}}}