Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5s2−5
Evaluate
s2×5−5×1
Use the commutative property to reorder the terms
5s2−5×1
Solution
5s2−5
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Factor the expression
5(s−1)(s+1)
Evaluate
s2×5−5×1
Use the commutative property to reorder the terms
5s2−5×1
Any expression multiplied by 1 remains the same
5s2−5
Factor out 5 from the expression
5(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)
5(s−1)(s+1)
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Find the roots
s1=−1,s2=1
Evaluate
s2×5−5×1
To find the roots of the expression,set the expression equal to 0
s2×5−5×1=0
Use the commutative property to reorder the terms
5s2−5×1=0
Any expression multiplied by 1 remains the same
5s2−5=0
Move the constant to the right-hand side and change its sign
5s2=0+5
Removing 0 doesn't change the value,so remove it from the expression
5s2=5
Divide both sides
55s2=55
Divide the numbers
s2=55
Divide the numbers
More Steps
Evaluate
55
Reduce the numbers
11
Calculate
1
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
Solution
s1=−1,s2=1
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