Simplify (2a+b)^2

Math
(2a+b)2
Rewrite (2a+b)2 as (2a+b)(2a+b).
(2a+b)(2a+b)
Expand (2a+b)(2a+b) using the FOIL Method.
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Apply the distributive property.
2a(2a+b)+b(2a+b)
Apply the distributive property.
2a(2a)+2ab+b(2a+b)
Apply the distributive property.
2a(2a)+2ab+b(2a)+b⋅b
2a(2a)+2ab+b(2a)+b⋅b
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
2⋅2a2+2ab+b(2a)+b⋅b
Multiply 2 by 2.
4a2+2ab+b(2a)+b⋅b
Rewrite using the commutative property of multiplication.
4a2+2ab+2ba+b⋅b
Multiply b by b.
4a2+2ab+2ba+b2
4a2+2ab+2ba+b2
Add 2ab and 2ba.
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Move b.
4a2+2ab+2ab+b2
Add 2ab and 2ab.
4a2+4ab+b2
4a2+4ab+b2
4a2+4ab+b2
Simplify (2a+b)^2

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