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Which of the following is equivalent to $({x}^{m}-{y}^{n})({x}^{m}+{y}^{n})$ ?

A

${x}^{{m}^{2}}-{y}^{{n}^{2}}$

B

${2x}^{{m}}-{2y}^{{n}}$

C

${2x}^{{2m}}-{2y}^{2{n}}$

D

${x}^{{2m}}+{y}^{2{n}}$

E

${x}^{2m}-{y}^{2n}$

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