Simplify (2/s-1/(s^3))^2

Math
(2s-1s3)2
Rewrite (2s-1s3)2 as (2s-1s3)(2s-1s3).
(2s-1s3)(2s-1s3)
Expand (2s-1s3)(2s-1s3) using the FOIL Method.
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Apply the distributive property.
2s(2s-1s3)-1s3(2s-1s3)
Apply the distributive property.
2s⋅2s+2s(-1s3)-1s3(2s-1s3)
Apply the distributive property.
2s⋅2s+2s(-1s3)-1s3⋅2s-1s3(-1s3)
2s⋅2s+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Simplify and combine like terms.
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Simplify each term.
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Multiply 2s⋅2s.
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Multiply 2s and 2s.
2⋅2s⋅s+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Multiply 2 by 2.
4s⋅s+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Raise s to the power of 1.
4s1s+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Raise s to the power of 1.
4s1s1+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Use the power rule aman=am+n to combine exponents.
4s1+1+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Add 1 and 1.
4s2+2s(-1s3)-1s3⋅2s-1s3(-1s3)
4s2+2s(-1s3)-1s3⋅2s-1s3(-1s3)
Rewrite using the commutative property of multiplication.
4s2-2s⋅1s3-1s3⋅2s-1s3(-1s3)
Multiply -2s⋅1s3.
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Multiply 1s3 and 2s.
4s2-2s3s-1s3⋅2s-1s3(-1s3)
Multiply s3 by s by adding the exponents.
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Multiply s3 by s.
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Raise s to the power of 1.
4s2-2s3s1-1s3⋅2s-1s3(-1s3)
Use the power rule aman=am+n to combine exponents.
4s2-2s3+1-1s3⋅2s-1s3(-1s3)
4s2-2s3+1-1s3⋅2s-1s3(-1s3)
Add 3 and 1.
4s2-2s4-1s3⋅2s-1s3(-1s3)
4s2-2s4-1s3⋅2s-1s3(-1s3)
4s2-2s4-1s3⋅2s-1s3(-1s3)
Multiply -1s3⋅2s.
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Multiply 2s and 1s3.
4s2-2s4-2s⋅s3-1s3(-1s3)
Multiply s by s3 by adding the exponents.
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Multiply s by s3.
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Raise s to the power of 1.
4s2-2s4-2s1s3-1s3(-1s3)
Use the power rule aman=am+n to combine exponents.
4s2-2s4-2s1+3-1s3(-1s3)
4s2-2s4-2s1+3-1s3(-1s3)
Add 1 and 3.
4s2-2s4-2s4-1s3(-1s3)
4s2-2s4-2s4-1s3(-1s3)
4s2-2s4-2s4-1s3(-1s3)
Multiply -1s3(-1s3).
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Multiply -1 by -1.
4s2-2s4-2s4+11s31s3
Multiply 1s3 by 1.
4s2-2s4-2s4+1s3⋅1s3
Multiply 1s3 and 1s3.
4s2-2s4-2s4+1s3s3
Multiply s3 by s3 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
4s2-2s4-2s4+1s3+3
Add 3 and 3.
4s2-2s4-2s4+1s6
4s2-2s4-2s4+1s6
4s2-2s4-2s4+1s6
4s2-2s4-2s4+1s6
Subtract 2s4 from -2s4.
4s2-22s4+1s6
4s2-22s4+1s6
Simplify each term.
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Multiply -22s4.
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Combine -2 and 2s4.
4s2+-2⋅2s4+1s6
Multiply -2 by 2.
4s2+-4s4+1s6
4s2+-4s4+1s6
Move the negative in front of the fraction.
4s2-4s4+1s6
4s2-4s4+1s6
Simplify (2/s-1/(s^3))^2

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