A) \[-12{{a}^{3}}+5{{a}^{2}}+19a-4\]
B) \[3{{a}^{2}}{{b}^{2}}+5a\]
C) \[5{{a}^{2}}+6{{a}^{2}}+2a+3\]
D) \[3{{x}^{2}}z-3yz+3xy+7z\]
Correct Answer: A
Solution :
\[15a-\left[ 8{{a}^{3}}+3{{a}^{2}}-\left\{ 8{{a}^{2}}-(4-2a-{{a}^{3}})-5{{a}^{3}} \right\}-2a \right]\]\[=15a-[8{{a}^{3}}+3{{a}^{3}}+4{{a}^{3}}-8{{a}^{2}}+4-2a-2a]\] \[=15a-\left[ 12{{x}^{3}}-5{{a}^{2}}-4a+4 \right]\] \[=15a-12{{a}^{3}}+5{{a}^{2}}+4a-4\] \[=-12{{a}^{3}}+5{{a}^{2}}+19a-4\]
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