Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
f(f−1)(f2+f+1)
Evaluate
f4−f
Factor out f from the expression
f(f3−1)
Solution
More Steps
Evaluate
f3−1
Rewrite the expression in exponential form
f3−13
Use 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−f
To find the roots of the expression,set the expression equal to 0
f4−f=0
Factor the expression
f(f3−1)=0
Separate the equation into 2 possible cases
f=0f3−1=0
Solve the equation
More Steps
Evaluate
f3−1=0
Move the constant to the right-hand side and change its sign
f3=0+1
Removing 0 doesn't change the value,so remove it from the expression
f3=1
Take the 3-th root on both sides of the equation
3f3=31
Calculate
f=31
Simplify the root
f=1
f=0f=1
Solution
f1=0,f2=1
Show Solution