Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
9s4−27s2
Evaluate
3s2(3s2−9)
Apply the distributive property
3s2×3s2−3s2×9
Multiply the terms
More Steps
Evaluate
3s2×3s2
Multiply the numbers
9s2×s2
Multiply the terms
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Evaluate
s2×s2
Use the product rule an×am=an+m to simplify the expression
s2+2
Add the numbers
s4
9s4
9s4−3s2×9
Solution
9s4−27s2
Show Solution
Factor the expression
9s2(s2−3)
Evaluate
3s2(3s2−9)
Factor the expression
3s2×3(s2−3)
Solution
9s2(s2−3)
Show Solution
Find the roots
s1=−3,s2=0,s3=3
Alternative Form
s1≈−1.732051,s2=0,s3≈1.732051
Evaluate
3s2(3s2−9)
To find the roots of the expression,set the expression equal to 0
3s2(3s2−9)=0
Elimination the left coefficient
s2(3s2−9)=0
Separate the equation into 2 possible cases
s2=03s2−9=0
The only way a power can be 0 is when the base equals 0
s=03s2−9=0
Solve the equation
More Steps
Evaluate
3s2−9=0
Move the constant to the right-hand side and change its sign
3s2=0+9
Removing 0 doesn't change the value,so remove it from the expression
3s2=9
Divide both sides
33s2=39
Divide the numbers
s2=39
Divide the numbers
More Steps
Evaluate
39
Reduce the numbers
13
Calculate
3
s2=3
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±3
Separate the equation into 2 possible cases
s=3s=−3
s=0s=3s=−3
Solution
s1=−3,s2=0,s3=3
Alternative Form
s1≈−1.732051,s2=0,s3≈1.732051
Show Solution