Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
f(f−1)(f+1)(f2+1)
Evaluate
f5−f
Factor out f from the expression
f(f4−1)
Factor the expression
More Steps
Evaluate
f4−1
Rewrite the expression in exponential form
(f2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(f2−1)(f2+1)
f(f2−1)(f2+1)
Solution
More Steps
Evaluate
f2−1
Rewrite the expression in exponential form
f2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(f−1)(f+1)
f(f−1)(f+1)(f2+1)
Show Solution
Find the roots
f1=−1,f2=0,f3=1
Evaluate
f5−f
To find the roots of the expression,set the expression equal to 0
f5−f=0
Factor the expression
f(f4−1)=0
Separate the equation into 2 possible cases
f=0f4−1=0
Solve the equation
More Steps
Evaluate
f4−1=0
Move the constant to the right-hand side and change its sign
f4=0+1
Removing 0 doesn't change the value,so remove it from the expression
f4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
f=±41
Simplify the expression
f=±1
Separate the equation into 2 possible cases
f=1f=−1
f=0f=1f=−1
Solution
f1=−1,f2=0,f3=1
Show Solution