Question

verify A×(BnC)=(AnB)×(AnC)​

Answer 1

Answer:

let's take A=1,2. B=2,3.c=1,3.

step 1

A×(BnC)

BnC={2,3}n {1,3}

={3}

A×(BnC)= {1,2}×{3}

{1,2}

step 2

AnB ={1,2}n{2,3}

={2}

AnC={1,2}n{1,3}

={1}

(AnB)×(AnC)={2}× {1}

={2,1}

now, step1 and step 2 is same