A) \[2{{a}^{3}}+7{{a}^{2}}+6a-10\]
B) \[2{{a}^{3}}+7{{a}^{2}}+12a-10\]
C) \[2{{a}^{3}}-4{{a}^{2}}+12a-10\]
D) \[2{{a}^{3}}-4{{a}^{2}}+6a-10\]
Correct Answer: C
Solution :
\[\begin{align} & {{a}^{3}}-2{{a}^{3}}+4a-5 \\ & (-)-{{a}^{3}}+2{{a}^{2}}-8a+5 \\ & \,\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{\begin{smallmatrix} \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \\ 2{{a}^{3}}\,\,\,-4{{a}^{2}}\,\,+12a\,\,-10 \end{smallmatrix}}{\mathop{\,\,\,\,\,\,\,+\,\,\,\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,+\,\,\,\,\,\,\,\,-}}\,}}\, \\ \end{align}\]
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