Question Factor the expression (x−1)(x2+x+1) Evaluate x3−1Rewrite the expression in exponential form x3−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (x−1)(x2+x×1+12)Any expression multiplied by 1 remains the same (x−1)(x2+x+12)Solution (x−1)(x2+x+1) Show Solution Find the roots x=1 Evaluate x3−1To find the roots of the expression,set the expression equal to 0 x3−1=0Move the constant to the right-hand side and change its sign x3=0+1Removing 0 doesn't change the value,so remove it from the expression x3=1Take the 3-th root on both sides of the equation 3x3=31Calculate x=31Solution x=1 Show Solution