Gram panchayat of village Balipur District Mathura decided to donate a
piece of land of area 2(a^2 + b^2 + c^2 -ab-bc- ca ).One of its part to
government hospital,one of its part to government school and one of its
part to Defence of india for making ordnance factory.Find shares which
be given to these departments
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One of the possible Share to be given to government hospital , government school & Defence of india are (a - b)² , (b - c)² , (c - a)²
Step-by-step explanation:
2(a² + b² + c² - ab- bc- ca )
= 2a² + 2b² + 2c² - 2ab - 2bc - 2ca
= a² + a² + b² + b² + c² + c² - 2ab - 2bc - 2ca
= a² + b² - 2ab + b² + c² - 2bc + a² + c² - 2ca
= (a - b)² + (b - c)² + (c - a)²
One of the possible Share to be given to government hospital , government school & Defence of india are (a - b)² , (b - c)² , (c - a)²
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