Simplify the following Boolean Expression using Boolean laws:

$F_1=A*B*C\frac{+}{b}ar(A)+A\frac{*}{b}ar(B)*C$

$F_2\frac{?}{b}=ar(A)\frac{*}{b}ar(B)\frac{*}{b}ar(C)\frac{+}{b}ar(A)\frac{*}{b}ar(B)*C\frac{+}{b}ar(A)\frac{*}{b}ar(C)$

$F_3=(A\frac{*}{b}ar(B)*(C+B*D)\frac{+}{b}ar(A)\frac{*}{b}ar(B))*C$

$($mention which laws you areusing in which step$)$