Question 9: Calculate \((x−1)(x^2+x+1)\)
We have:
\( \left( {x – 1} \right)\left( {{x^2} + x + 1} \right) = x. {x^2} + xx + x.1 – 1. {x^ 2} – 1.x – 1.1 = {x^3} + {x^2} + x – {x^2} – x – 1 = {x^3} – 1\)
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Question 9: Calculate \((x−1)(x^2+x+1)\)
We have:
\( \left( {x – 1} \right)\left( {{x^2} + x + 1} \right) = x. {x^2} + xx + x.1 – 1. {x^ 2} – 1.x – 1.1 = {x^3} + {x^2} + x – {x^2} – x – 1 = {x^3} – 1\)
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