Question

Hii Everyone..
If anyone is able to solve it please solve.
Do not copy from any source.


Solution is urgently needed.
please help me
Thanks :)

Answer 1

Because P is same for both A and B for example: if we write 2(4+7) then we can also write this as 2(4)+2(7).

Answer 2

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here is your answer

L.H.S.=P(A∩B)

Let

x∈P(A∩B)

⇒x∈(A∩B)

⇒x∈A and x∈B ; 

Statement(i)


R.H.S.=P(A)∩P(B)


Let x∈P(A)∩P(B)⇒x∈A and x∈B   ;


 Statement(ii)


By statement(i) and statement(ii)



L.H.S.=R.H.S.⇒P(A∩B)=P(A)∩P(B)  [Hence proved]