Given the following Boolean function:

$F(A,B,C)=A^{\text{'}}+BC+(A{B}^{\text{'}}{)}^{\text{'}}$

Prove that $F(A,B,C)=A^{\text{'}}+B$ using Boolean algebraic minimization.

You must show all intermediate steps, stating the property, rule, or identity used to go

from one step to the next.

For example:

$x(Y*0)=x(0)by$ short$-$circuit rule

$x(0)=0$ by short$-$circuit rule

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$12ptvv$ Paragraph $vv|B,B,{?}_{,}{A}_{v}v{Q}_{v}v{T}^{2}vv$

DO NOT USE ABSORPTION LAW. USE PROPER BOOLEAN LAWS.