Question $2$:

Simplify each Boolean expression using algebraic manipulation $($axioms and theorems$).$ Show $q,$ ALL work.

Show the steps of the simplification, and write which axiom$/$theorem you used in each step next to the simplification.

a$)E(x,Y,Z)=\stackrel{}{x}Y+\frac{Y}{b}ar(Z)+YZ+\frac{x}{b}ar\frac{Y}{b}ar(Z)$

b$)F(T,W,x,Y,Z)=TW+\stackrel{}{x}\frac{Y}{b}ar(Z)+\frac{T}{b}ar(W)Z\frac{+}{b}ar(W)xY\frac{+}{b}ar(T)Wx\frac{+}{b}ar(W)\frac{x}{b}ar(Y)+\frac{T}{b}ar\frac{W}{b}ar(Z)$

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