Question Simplify the expression b3−1 Evaluate b3−b0Solution b3−1 Show Solution Factor the expression (b−1)(b2+b+1) Evaluate b3−b0Evaluate b3−1Rewrite the expression in exponential form b3−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (b−1)(b2+b×1+12)Any expression multiplied by 1 remains the same (b−1)(b2+b+12)Solution (b−1)(b2+b+1) Show Solution Find the roots b=1 Evaluate b3−b0To find the roots of the expression,set the expression equal to 0 b3−b0=0Find the domain b3−b0=0,b=0Calculate b3−b0=0Evaluate the power b3−1=0Move the constant to the right-hand side and change its sign b3=0+1Removing 0 doesn't change the value,so remove it from the expression b3=1Take the 3-th root on both sides of the equation 3b3=31Calculate b=31Simplify the root b=1Check if the solution is in the defined range b=1,b=0Solution b=1 Show Solution