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=3−1Calculate x=3−1Solution More Steps Evaluate 3−1An odd root of a negative radicand is always a negative −31Simplify the radical expression −1 x=−1 Show Solution