Simplify (2a+2)^2

Math
(2a+2)2
Rewrite (2a+2)2 as (2a+2)(2a+2).
(2a+2)(2a+2)
Expand (2a+2)(2a+2) using the FOIL Method.
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Apply the distributive property.
2a(2a+2)+2(2a+2)
Apply the distributive property.
2a(2a)+2a⋅2+2(2a+2)
Apply the distributive property.
2a(2a)+2a⋅2+2(2a)+2⋅2
2a(2a)+2a⋅2+2(2a)+2⋅2
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
2⋅2a2+2a⋅2+2(2a)+2⋅2
Multiply 2 by 2.
4a2+2a⋅2+2(2a)+2⋅2
Multiply 2 by 2.
4a2+4a+2(2a)+2⋅2
Multiply 2 by 2.
4a2+4a+4a+2⋅2
Multiply 2 by 2.
4a2+4a+4a+4
4a2+4a+4a+4
Add 4a and 4a.
4a2+8a+4
4a2+8a+4
Simplify (2a+2)^2

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