Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(s−1)(s+1)(s2+1)
Evaluate
s4−1
Rewrite the expression in exponential form
(s2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(s2−1)(s2+1)
Solution
More Steps
Evaluate
s2−1
Rewrite the expression in exponential form
s2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(s−1)(s+1)
(s−1)(s+1)(s2+1)
Show Solution
Find the roots
s1=−1,s2=1
Evaluate
s4−1
To find the roots of the expression,set the expression equal to 0
s4−1=0
Move the constant to the right-hand side and change its sign
s4=0+1
Removing 0 doesn't change the value,so remove it from the expression
s4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±41
Simplify the expression
s=±1
Separate the equation into 2 possible cases
s=1s=−1
Solution
s1=−1,s2=1
Show Solution