Simplify the following logic with boolean algebra

There are several commonly used Boolean Algebra :

A+B =B+A
A.B =B.A
A.A =A
A+A =A
A.A` =0
A+A' =1

Example:Simplify the following logic with boolean algebra:
F=(A+B)(A+B)
=A.A + AB + AB +BB
=A + AB +B

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