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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Binomial Theorem

  • question_answer
    The number of term in the expansion of \[{{[{{(x+4y)}^{3}}{{(x-4y)}^{3}}]}^{2}}\] is

    A) 6

    B) 7

    C) 8

    D) 32

    Correct Answer: B

    Solution :

    [b] \[{{[{{(x+4y)}^{3}}{{(x-4y)}^{3}}]}^{2}}={{[\{{{x}^{2}}-{{(4y)}^{2}}\}]}^{6}}\] \[={{({{x}^{2}}-16{{y}^{2}})}^{6}}\] \[\therefore \] No. of terms in the expansion = 7


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