Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
ss4−27−3s
Evaluate
s3−s27−3
Reduce fractions to a common denominator
ss3×s−s27−s3s
Write all numerators above the common denominator
ss3×s−27−3s
Solution
More Steps
Evaluate
s3×s
Use the product rule an×am=an+m to simplify the expression
s3+1
Add the numbers
s4
ss4−27−3s
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Find the excluded values
s=0
Evaluate
s3−s27−3
Solution
s=0
Show Solution
Find the roots
s1≈−2.130637,s2≈2.419303
Evaluate
s3−s27−3
To find the roots of the expression,set the expression equal to 0
s3−s27−3=0
Find the domain
s3−s27−3=0,s=0
Calculate
s3−s27−3=0
Subtract the terms
More Steps
Simplify
s3−s27
Reduce fractions to a common denominator
ss3×s−s27
Write all numerators above the common denominator
ss3×s−27
Multiply the terms
More Steps
Evaluate
s3×s
Use the product rule an×am=an+m to simplify the expression
s3+1
Add the numbers
s4
ss4−27
ss4−27−3=0
Subtract the terms
More Steps
Simplify
ss4−27−3
Reduce fractions to a common denominator
ss4−27−s3s
Write all numerators above the common denominator
ss4−27−3s
ss4−27−3s=0
Cross multiply
s4−27−3s=s×0
Simplify the equation
s4−27−3s=0
Calculate
s≈2.419303s≈−2.130637
Check if the solution is in the defined range
s≈2.419303s≈−2.130637,s=0
Find the intersection of the solution and the defined range
s≈2.419303s≈−2.130637
Solution
s1≈−2.130637,s2≈2.419303
Show Solution