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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+clear
+clc
+disp("T(x,y,z)=(x+y)[x^(y^+z^)]^+x^y^+x^z^");
+disp("From the properties 1. (ab)^=a^+b^ 2. (a+b)^=a^b^");
+disp("T(x,y,z)=((x+y)(x+yz))+x^y^+x^z^");
+disp("Multipliying the first 2 terms");
+disp("T(x,y,z)=(x+xyz+xy+yz)+x^y^+x^z^");
+disp("T(x,y,z)=(x(1+y+yz)+yz)+x^y^+x^z^");
+disp("T(x,y,z)=x+yz+x^y^+x^z^");
+disp("we know a+a^b=a+b");
+disp("T(x,y,z)=x+y^+yz+x^z^");
+disp("T(x,y,z)=x+z^+y^+yz");
+disp("T(x,y,z)=x+z^+y^+z");
+disp("since z+z^=1");
+disp("T(x,y,z)=x+1+y^");
+disp("T(x,y,z)=1")