Using Truth Table,can You Prove That : (a+b).c=(a.c)+(b.c)?

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Using truth table, prove that:
(A + B) . C = (A . C) + (B . C) (Marks 10)

Solution:

there are 3 variables a b c

so 2^n

so 2^3

2*2*2=8 values

A------B------C----(A+B)--(A+B).C ===(A.C)----(B.C)----(A.C)+(B.C)
0------0------0------0------0======0------0------0
0------0------1------0------0======0------0------0
0------1------0------1------0======0------0------0
0------1------1------1------1======0------1------1
1------0------0------1------0======0------0------0
1------0------1------1------1======1------0------1
1------1------0------1------0======0------0------0
1------1------1------1------1==

Using Truth Table,can You Prove That : (a+b).c=(a.c)+(b.c)?

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