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Simplify each of the following expressions to a minimum number of terms, and at the same time, each term shall consists of a minimum number

Simplify each of the following expressions to a minimum number of terms, and at the same time, each term shall consists of a minimum number of variables. Use boolean algebra theorems.

(a) XY +XYZ +YZ

(b) XY + Z + (X + Y ) Z

(c) (XY + Z)(X + Y ) Z

PLEASE : State which theorem(s) you have used for each step in your work.

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