Question

simply (a+b+c)^2+(a-b+c)^2+(a+b-c)^2​

Answer 1

Solution:-

( a+b+c)² + ( a - b+c)² + ( a+b -c)²

Note:-

•( a +b+c)² = a² + b² + c² + 2ab + 2bc + 2ac.

•( a -b+c)² = a² + b² + c² - 2ab - 2bc + 2ac.

•( a+b- c)²= a² + b² + c² + 2ab - 2bc - 2ac.

Solution:-

=> ( a+b+c)² + ( a - b+c)² + ( a+b -c)²

=> a² + b² + c² + 2ab + 2bc + 2ac + a² + b² + c² - 2ab - 2bc + 2ac + a² + b² + c² + 2ab - 2bc - 2ac.

=> 3a² + 3b² + 3c² + 2ab - 2bc + 2ac.