Question Simplify the expression n5−n Evaluate n(n4−1)Apply the distributive property n×n4−n×1Multiply the terms More Steps Evaluate n×n4Use the product rule an×am=an+m to simplify the expression n1+4Add the numbers n5 n5−n×1Solution n5−n Show Solution Factor the expression n(n−1)(n+1)(n2+1) Evaluate n(n4−1)Solution More Steps Evaluate n4−1Use a2−b2=(a−b)(a+b) to factor the expression (n2−1)(n2+1)Use a2−b2=(a−b)(a+b) to factor the expression (n−1)(n+1)(n2+1) n(n−1)(n+1)(n2+1) Show Solution Find the roots n1=−1,n2=0,n3=1 Evaluate n(n4−1)To find the roots of the expression,set the expression equal to 0 n(n4−1)=0Separate the equation into 2 possible cases n=0n4−1=0Solve the equation More Steps Evaluate n4−1=0Move the constant to the right-hand side and change its sign n4=0+1Removing 0 doesn't change the value,so remove it from the expression n4=1Take the root of both sides of the equation and remember to use both positive and negative roots n=±41Simplify the expression n=±1Separate the equation into 2 possible cases n=1n=−1 n=0n=1n=−1Solution n1=−1,n2=0,n3=1 Show Solution