question_answer

Find the product of \[(a+b-c)\] \[({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab+bc+ca)\].

A) \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-ab+bc+ca\]

B) \[{{a}^{3}}+{{b}^{3}}+{{c}^{3}}+3abc\]

C) \[{{a}^{3}}+{{b}^{3}}-{{c}^{3}}+3abc\]

D) \[{{a}^{3}}-{{b}^{3}}-{{c}^{3}}+3abc\]

E) None of these