Simplify (3w-2)^2

Math
(3w-2)2
Rewrite (3w-2)2 as (3w-2)(3w-2).
(3w-2)(3w-2)
Expand (3w-2)(3w-2) using the FOIL Method.
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Apply the distributive property.
3w(3w-2)-2(3w-2)
Apply the distributive property.
3w(3w)+3w⋅-2-2(3w-2)
Apply the distributive property.
3w(3w)+3w⋅-2-2(3w)-2⋅-2
3w(3w)+3w⋅-2-2(3w)-2⋅-2
Simplify and combine like terms.
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Simplify each term.
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Multiply w by w.
3⋅3w2+3w⋅-2-2(3w)-2⋅-2
Multiply 3 by 3.
9w2+3w⋅-2-2(3w)-2⋅-2
Multiply -2 by 3.
9w2-6w-2(3w)-2⋅-2
Multiply 3 by -2.
9w2-6w-6w-2⋅-2
Multiply -2 by -2.
9w2-6w-6w+4
9w2-6w-6w+4
Subtract 6w from -6w.
9w2-12w+4
9w2-12w+4
Simplify (3w-2)^2

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