Simplify (2d+4)^2

Math
(2d+4)2
Rewrite (2d+4)2 as (2d+4)(2d+4).
(2d+4)(2d+4)
Expand (2d+4)(2d+4) using the FOIL Method.
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Apply the distributive property.
2d(2d+4)+4(2d+4)
Apply the distributive property.
2d(2d)+2d⋅4+4(2d+4)
Apply the distributive property.
2d(2d)+2d⋅4+4(2d)+4⋅4
2d(2d)+2d⋅4+4(2d)+4⋅4
Simplify and combine like terms.
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Simplify each term.
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Multiply d by d.
2⋅2d2+2d⋅4+4(2d)+4⋅4
Multiply 2 by 2.
4d2+2d⋅4+4(2d)+4⋅4
Multiply 4 by 2.
4d2+8d+4(2d)+4⋅4
Multiply 2 by 4.
4d2+8d+8d+4⋅4
Multiply 4 by 4.
4d2+8d+8d+16
4d2+8d+8d+16
Add 8d and 8d.
4d2+16d+16
4d2+16d+16
Simplify (2d+4)^2

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