Question Simplify the expression p4−p Evaluate p4−1×pSolution p4−p Show Solution Factor the expression p(p−1)(p2+p+1) Evaluate p4−1×pAny expression multiplied by 1 remains the same p4−pFactor out p from the expression p(p3−1)Solution More Steps Evaluate p3−1Rewrite the expression in exponential form p3−13Use a3−b3=(a−b)(a2+ab+b2) to factor the expression (p−1)(p2+p×1+12)Any expression multiplied by 1 remains the same (p−1)(p2+p+12)1 raised to any power equals to 1 (p−1)(p2+p+1) p(p−1)(p2+p+1) Show Solution Find the roots p1=0,p2=1 Evaluate p4−1×pTo find the roots of the expression,set the expression equal to 0 p4−1×p=0Any expression multiplied by 1 remains the same p4−p=0Factor the expression p(p3−1)=0Separate the equation into 2 possible cases p=0p3−1=0Solve the equation More Steps Evaluate p3−1=0Move the constant to the right-hand side and change its sign p3=0+1Removing 0 doesn't change the value,so remove it from the expression p3=1Take the 3-th root on both sides of the equation 3p3=31Calculate p=31Simplify the root p=1 p=0p=1Solution p1=0,p2=1 Show Solution