Question

De a forma fatorada de:

x²y²z+2xy+3xyz+6

Answer 1

Olá


$\displaystyle\mathsf{x^2y^2z+2xy+3xyz+6}\\\\\\\mathsf{(x^2y^2z+2xy)~+~(3xyz+6)}\\\\\\\text{No primeiro termo, poe o 'xy' em evidencia}\\\text{No segundo termo, poe o '3' em evidencia}\\\\\\\mathsf{xy(xyz+2)~+~3(xyz+2)}\\\\\\\text{Agora, coloque o '(xyz + 2)' em evidencia}\\\\\\\boxed{\mathsf{(xy+3)(xyz+2)}}\qquad\qquad\qquad\Longleftarrow\qquad\qquad\qquad\text{Resposta}$