Multiply (2y-3)^2

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

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