It is known that a = ½ m + 1, B = ½ m + 2, C = ½ m + 3, find the value of a & #178; + 2Ab + B & #178; - 2Ac + C & #178; - 2BC | Math enthusiast | Mathematical art

It is known that a = ½ m + 1, B = ½ m + 2, C = ½ m + 3, find the value of a & #178; + 2Ab + B & #178; - 2Ac + C & #178; - 2BC

a=½m+1,b=½m+2,c=½m+3
∴a²+2ab+b²-2ac+c²-2bc
=（a+b-c)²
=(1/2m+1+1/2m+2-1/2m-3)²
=(1/2m)²
=m²/4

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