Simplify (2m-3)^2

Math
(2m-3)2
Rewrite (2m-3)2 as (2m-3)(2m-3).
(2m-3)(2m-3)
Expand (2m-3)(2m-3) using the FOIL Method.
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Apply the distributive property.
2m(2m-3)-3(2m-3)
Apply the distributive property.
2m(2m)+2m⋅-3-3(2m-3)
Apply the distributive property.
2m(2m)+2m⋅-3-3(2m)-3⋅-3
2m(2m)+2m⋅-3-3(2m)-3⋅-3
Simplify and combine like terms.
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Simplify each term.
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Multiply m by m.
2⋅2m2+2m⋅-3-3(2m)-3⋅-3
Multiply 2 by 2.
4m2+2m⋅-3-3(2m)-3⋅-3
Multiply -3 by 2.
4m2-6m-3(2m)-3⋅-3
Multiply 2 by -3.
4m2-6m-6m-3⋅-3
Multiply -3 by -3.
4m2-6m-6m+9
4m2-6m-6m+9
Subtract 6m from -6m.
4m2-12m+9
4m2-12m+9
Simplify (2m-3)^2

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