question_answer

What should be added to: \[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 3 - 5xyz +3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{z}\] to obtain\[\mathbf{13}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2-8xyz+12x}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{-3}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{z}\]?

A) \[10{{x}^{2}}+\text{ }12x{{z}^{2}}-\text{ }3{{x}^{2}}z\text{ }+\text{ }3xyz\text{ }+\text{ }1\]

B)  \[10{{x}^{2}}+\text{ }12x{{z}^{2}}+\text{ }6{{x}^{2}}z\text{ }+\text{ }8xyz\text{ }+\text{ }1\]

C) \[10{{x}^{2}}+12x{{z}^{2}}+1-3{{x}^{2}}z\text{ }+3xyz\]

D)  \[10{{x}^{2}}+12x{{z}^{2}}-\text{ }6{{x}^{2}}z\text{ }+\text{ }13xyz\text{ }+\text{ }1\]

E)  None of these