The addition is as follows:
Here,
3a(a - b - c) = 3a2 - 3ab - 3ac
2b(a - b + c) = 2ab - 2b2 + 2bc
Hence the two polynomials to be added are 3a2 - 3ab - 3ac and 2ab - 2b2 + 2bc
3a(a - b - c) + 2b(a - b + c) = 3a2 - 3ab - 3ac + 2ab - 2b2 + 2bc = 3a2 - ab - 3ac + 2bc - 2b2
The result is as follows: 3a2 - ab - 3ac + 2bc - 2b2