If \( \mathrm{A}=(1,2,3), \mathrm{B}=(4), \mathrm{C}=(5) \), then verify that : \[ \mathrm{A} \t...

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If \( \mathrm{A}=(1,2,3), \mathrm{B}=(4), \mathrm{C}=(5) \), then verify that :
\[
\mathrm{A} \times(\mathrm{B} \cap \mathrm{C}) \quad=(\mathrm{A} \times \mathrm{B}) \cap(\mathrm{A} \times \mathrm{C})
\]
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