Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
l2(1−l)(1+l)
Evaluate
l2−l4
Factor out l2 from the expression
l2(1−l2)
Solution
More Steps
Evaluate
1−l2
Rewrite the expression in exponential form
12−l2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−l)(1+l)
l2(1−l)(1+l)
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Find the roots
l1=−1,l2=0,l3=1
Evaluate
l2−l4
To find the roots of the expression,set the expression equal to 0
l2−l4=0
Factor the expression
l2(1−l2)=0
Separate the equation into 2 possible cases
l2=01−l2=0
The only way a power can be 0 is when the base equals 0
l=01−l2=0
Solve the equation
More Steps
Evaluate
1−l2=0
Move the constant to the right-hand side and change its sign
−l2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−l2=−1
Change the signs on both sides of the equation
l2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±1
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
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