Best Answer

A+A*b does not mean A plus Ab

the operation signified by "+" is called "or"

the operation signified by "*" is called "and"

there are four possible outcomes of a+a*b

if a=1 and b=1 the result is 1

if a=1 and b=0 the result is 1

if a=0 and b=1 the result is 0

if a=0 and b=0 the result is 0

a+a*b is 1 if a is 1 and a+a*b is 0 if a is 0 regardless of the value of b

thus a+a*b=a

Q.E.D.

Q: Prove A plus Ab equals A using boolean algebra theorem?

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