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=== Equality ===
There are two notions of equality for [[expression (mathematics)|mathematical expressions]]. The '''syntactic equality''' is the equality of the expressions which means that they are written (or represented in a computer) in the same way. Being trivial, the syntactic equality is rarely considered by mathematicians, although it is the only equality that is easy to test with a program. The ''semantic equality'' is when two expressions represent the same mathematical object, like in
:<math> (x+y)^2=x^2+2xy+y^2.</math>
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