The three boxes 1,2,3 has values resp. AB,BC,AC Get 2A(B+C)
+AC-2C(A-B)in Box 1 using only addition in 3 steps.

Answer Posted / ishant kshirsagar

GIVEN: 2A(B+C)+AC-2C(A-B)
THEREFORE 2AB+2AC+AC-2AC+2BC
2AB+AC+2BC
2(AB+BC)+AC



LET b1=AB b2=BC b3=AC

STEP1: b1 = b1+b2
so b1 = AB+BC

THEREFORE
NOW: b1 = AB+BC b2 = BC b3 = AC

STEP 2: b3 = b1+b3
so b3 = AB+BC+AC

THEREFORE
NOW: b1 = AB+BC b2 = BC b3 = AB+BC+AC

STEP3:
NOW: b1 = b1+b3
so b1 = AB+BC+AB+BC+AC
=2(AB+BC)+ AC



AB BC AC
STEP1 AB+BC BC AC
STEP2 AC BC AB+BC+AC
STEP3 AB+BC+AB+BC+AC BC AB+BC+AC
i.e 2(AB+BC)+AC BC AB+BC+AC

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