Question Simplify the expression f4−f Evaluate f4×1−fSolution f4−f Show Solution Factor the expression f(f−1)(f2+f+1) Evaluate f4×1−fAny expression multiplied by 1 remains the same f4−fFactor out f from the expression f(f3−1)Solution More Steps Evaluate f3−1Rewrite the expression in exponential form f3−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (f−1)(f2+f×1+12)Any expression multiplied by 1 remains the same (f−1)(f2+f+12)1 raised to any power equals to 1 (f−1)(f2+f+1) f(f−1)(f2+f+1) Show Solution Find the roots f1=0,f2=1 Evaluate f4×1−fTo find the roots of the expression,set the expression equal to 0 f4×1−f=0Any expression multiplied by 1 remains the same f4−f=0Factor the expression f(f3−1)=0Separate the equation into 2 possible cases f=0f3−1=0Solve the equation More Steps Evaluate f3−1=0Move the constant to the right-hand side and change its sign f3=0+1Removing 0 doesn't change the value,so remove it from the expression f3=1Take the 3-th root on both sides of the equation 3f3=31Calculate f=31Simplify the root f=1 f=0f=1Solution f1=0,f2=1 Show Solution