Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
s2(1−s)(1+s)
Evaluate
s2−s4
Factor out s2 from the expression
s2(1−s2)
Solution
More Steps
Evaluate
1−s2
Rewrite the expression in exponential form
12−s2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−s)(1+s)
s2(1−s)(1+s)
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Find the roots
s1=−1,s2=0,s3=1
Evaluate
s2−s4
To find the roots of the expression,set the expression equal to 0
s2−s4=0
Factor the expression
s2(1−s2)=0
Separate the equation into 2 possible cases
s2=01−s2=0
The only way a power can be 0 is when the base equals 0
s=01−s2=0
Solve the equation
More Steps
Evaluate
1−s2=0
Move the constant to the right-hand side and change its sign
−s2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−s2=−1
Change the signs on both sides of the equation
s2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±1
Simplify the expression
s=±1
Separate the equation into 2 possible cases
s=1s=−1
s=0s=1s=−1
Solution
s1=−1,s2=0,s3=1
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