I need help finding the proof to the following question:

Prove or disprove the following: A\(BC)=(A\B)(A\C).

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The following image is an example of how the answer should be formatted. I am having trouble.

Consider, A\\(BUC) Then, x E A, x & BUC x E A, and xe B and/or C x E A\\ B and x E A\\ C XE(A\\B)n(A \\C) So, A\\(BUC) S(A\\B)n(A\\C) . . . . . . (1) Consider, (A\\B)n(A\\C) Then, XE(A \\ B)n(A \\ C) XE(A\\B) nxE(A\\C) xE(A\\B) and x E (A \\ C) x E A but xe B or/and x e C x E A but xe BUC XE A\\ (BUC) So, (A\\B)n(A\\C) CA\\(BUC) . . . . . . (2) Hence, from (1) and (2), A\\(BUC) =(A\\B)n(A\\C)