Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
l5−l
Evaluate
l5−l×1
Solution
l5−l
Show Solution
Factor the expression
l(l−1)(l+1)(l2+1)
Evaluate
l5−l×1
Any expression multiplied by 1 remains the same
l5−l
Factor out l from the expression
l(l4−1)
Factor the expression
More Steps
Evaluate
l4−1
Rewrite the expression in exponential form
(l2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(l2−1)(l2+1)
l(l2−1)(l2+1)
Solution
More Steps
Evaluate
l2−1
Rewrite the expression in exponential form
l2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(l−1)(l+1)
l(l−1)(l+1)(l2+1)
Show Solution
Find the roots
l1=−1,l2=0,l3=1
Evaluate
l5−l×1
To find the roots of the expression,set the expression equal to 0
l5−l×1=0
Any expression multiplied by 1 remains the same
l5−l=0
Factor the expression
l(l4−1)=0
Separate the equation into 2 possible cases
l=0l4−1=0
Solve the equation
More Steps
Evaluate
l4−1=0
Move the constant to the right-hand side and change its sign
l4=0+1
Removing 0 doesn't change the value,so remove it from the expression
l4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±41
Simplify the expression
l=±1
Separate the equation into 2 possible cases
l=1l=−1
l=0l=1l=−1
Solution
l1=−1,l2=0,l3=1
Show Solution