Math, asked by rajagrawal2276, 11 months ago

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

Answers

Answered by amitnrw
9

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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