Simplify (2 square root of m+2)^2

Math
(2m+2)2
Rewrite (2m+2)2 as (2m+2)(2m+2).
(2m+2)(2m+2)
Expand (2m+2)(2m+2) using the FOIL Method.
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Apply the distributive property.
2m(2m+2)+2(2m+2)
Apply the distributive property.
2m(2m)+2m⋅2+2(2m+2)
Apply the distributive property.
2m(2m)+2m⋅2+2(2m)+2⋅2
2m(2m)+2m⋅2+2(2m)+2⋅2
Simplify and combine like terms.
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Simplify each term.
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Multiply 2m(2m).
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Multiply 2 by 2.
4mm+2m⋅2+2(2m)+2⋅2
Raise m to the power of 1.
4(m1m)+2m⋅2+2(2m)+2⋅2
Raise m to the power of 1.
4(m1m1)+2m⋅2+2(2m)+2⋅2
Use the power rule aman=am+n to combine exponents.
4m1+1+2m⋅2+2(2m)+2⋅2
Add 1 and 1.
4m2+2m⋅2+2(2m)+2⋅2
4m2+2m⋅2+2(2m)+2⋅2
Rewrite m2 as m.
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Use axn=axn to rewrite m as m12.
4(m12)2+2m⋅2+2(2m)+2⋅2
Apply the power rule and multiply exponents, (am)n=amn.
4m12⋅2+2m⋅2+2(2m)+2⋅2
Combine 12 and 2.
4m22+2m⋅2+2(2m)+2⋅2
Cancel the common factor of 2.
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Cancel the common factor.
4m22+2m⋅2+2(2m)+2⋅2
Divide 1 by 1.
4m1+2m⋅2+2(2m)+2⋅2
4m1+2m⋅2+2(2m)+2⋅2
Simplify.
4m+2m⋅2+2(2m)+2⋅2
4m+2m⋅2+2(2m)+2⋅2
Multiply 2 by 2.
4m+4m+2(2m)+2⋅2
Multiply 2 by 2.
4m+4m+4m+2⋅2
Multiply 2 by 2.
4m+4m+4m+4
4m+4m+4m+4
Add 4m and 4m.
4m+8m+4
4m+8m+4
Simplify (2 square root of m+2)^2

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