$(a+b)^{\displaystyle 2} = a^{\displaystyle 2} + b^{\displaystyle 2} + 2ab$
$(a-b)^{\displaystyle 2} = a^{\displaystyle 2} + b^{\displaystyle 2} \,- 2ab$
$(a+b)(a-b) = a^{\displaystyle 2} \,- b^{\displaystyle 2}$
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