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J & K CET Engineering J and K - CET Engineering Solved Paper-2003

  • question_answer
    The number of terms in the expansion of \[{{[{{(a+4b)}^{3}}{{(-4b+a)}^{3}}]}^{2}}\]are

    A) \[6\]            

    B)  \[7\]

    C)  \[8\]             

    D)  \[18\]

    Correct Answer: B

    Solution :

    Now,  \[{{[{{(a+4b)}^{3}}-{{(-4b+a)}^{3}}]}^{2}}\] \[={{({{a}^{2}}-16{{b}^{2}})}^{6}}\] Here,     \[n=6\] So, total number of terms are 7.


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