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a2+ b2+c2+ 2ab+2bc+2ac
entonces reemplazas
1+ sen2+ cos2+ 2sen+ 2cos+ 2senxcosx
1+ 1(sen2+cos2=1)+ 2sen+2cos+ 2sencos
2+2sen + 2 cos + 2sencos
(2+ 2 sen) + (2 cos+ 2 sencos)
(2+2 sen)+ cos(2+2sen)
(2+2sen)(1+cos)
2(1+sen)(1+cos)
Espero que te sirva