2b + 2c or 2(b + c)
1. With boolean algebra, 1 + n is always equal to 1, no matter what the value of n is.
b+b+b+c+c+c+c =3b+4c
If a=b and c=d then (a+c)=(b+d) ? This is proved very simply by the direct application of perhaps the most fundamental statement in all of Algebra: "If equals are added to equals, the sums are equal."
And how does this relate to coins?
A+c= 2a+b
1. With boolean algebra, 1 + n is always equal to 1, no matter what the value of n is.
3c
b+b+b+c+c+c+c =3b+4c
b + b + b + c + c + c + c = 3b + 4c
If a=b and c=d then (a+c)=(b+d) ? This is proved very simply by the direct application of perhaps the most fundamental statement in all of Algebra: "If equals are added to equals, the sums are equal."
If a=b and b=c then a must = c
You want: abc + ab Factor out the common terms which are "a" and "b" ab ( c + 1 )
It is impossible to give any decimal/numeric value if we are not given the values of at least one variable, so the answer is B + B + B + C + C + C.
2(b - c)
And how does this relate to coins?
ab'c + abc' + abc = a(b'c + bc' + bc) = a(b'c + b(c' + c)) = a(b'c + b) = a(c + b) I'm not sure if there's a proper name for that last step, or multiple steps to get to it, but it is intuitively correct. b + b'c is equivalent to b + c. Here's a quick truth table to show it: bcb'b'cb'c+bb+c0010000111111000111100 11
a= (+a) or a= (-) b= 2a b= 2a c= (-a) c= (+a)