How does logic function a + non AB equal to a + B

How does logic function a + non AB equal to a + B

A+ ┐AB
=A(1+B)+┐AB
=A+AB+┐AB
=A+(A+┐A)B
=A+B
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Why is logic function 0 + 0 + 1 equal to 0

0 + 0 + 1 = 1 logic plus yes or operation, only one variable is 1, the result is 1
0 * 0 * 1 = 0 logical multiplication is and operation. If only one variable is 0, the result will be 0
Logic operation is different from addition and subtraction of algebra. In form, the above two examples are so similar to algebra operation

When x=______ F (x) = (x-a1) 2 + (x-a2) 2 + +(x-am) 2 is the minimum

Function f (x) = (x-a1) 2 + (x-a2) 2 + +（x-am）2=mx2-2（a1+a2+… +am）x+(a21+a22+… +a2m)=m(x−a1+a2+… +amm)2+(a21+a22+… +a2m)-(a1+a2+… +When x = a1 + A2 + +AMM, the function f (x) gets the minimum +amm．