Simplify (3y-2)^2

Math
(3y-2)2
Rewrite (3y-2)2 as (3y-2)(3y-2).
(3y-2)(3y-2)
Expand (3y-2)(3y-2) using the FOIL Method.
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Apply the distributive property.
3y(3y-2)-2(3y-2)
Apply the distributive property.
3y(3y)+3y⋅-2-2(3y-2)
Apply the distributive property.
3y(3y)+3y⋅-2-2(3y)-2⋅-2
3y(3y)+3y⋅-2-2(3y)-2⋅-2
Simplify and combine like terms.
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Simplify each term.
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Multiply y by y.
3⋅3y2+3y⋅-2-2(3y)-2⋅-2
Multiply 3 by 3.
9y2+3y⋅-2-2(3y)-2⋅-2
Multiply -2 by 3.
9y2-6y-2(3y)-2⋅-2
Multiply 3 by -2.
9y2-6y-6y-2⋅-2
Multiply -2 by -2.
9y2-6y-6y+4
9y2-6y-6y+4
Subtract 6y from -6y.
9y2-12y+4
9y2-12y+4
Simplify (3y-2)^2

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