Simplify (3w-1)^2

Math
(3w-1)2
Rewrite (3w-1)2 as (3w-1)(3w-1).
(3w-1)(3w-1)
Expand (3w-1)(3w-1) using the FOIL Method.
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Apply the distributive property.
3w(3w-1)-1(3w-1)
Apply the distributive property.
3w(3w)+3w⋅-1-1(3w-1)
Apply the distributive property.
3w(3w)+3w⋅-1-1(3w)-1⋅-1
3w(3w)+3w⋅-1-1(3w)-1⋅-1
Simplify and combine like terms.
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Simplify each term.
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Multiply w by w.
3⋅3w2+3w⋅-1-1(3w)-1⋅-1
Multiply 3 by 3.
9w2+3w⋅-1-1(3w)-1⋅-1
Multiply -1 by 3.
9w2-3w-1(3w)-1⋅-1
Multiply 3 by -1.
9w2-3w-3w-1⋅-1
Multiply -1 by -1.
9w2-3w-3w+1
9w2-3w-3w+1
Subtract 3w from -3w.
9w2-6w+1
9w2-6w+1
Simplify (3w-1)^2

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