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SSC Quantitative Aptitude Algebra Question Bank Elementary Algebra (II)

  • question_answer
    If\[a=23\]and \[b=-\,29,\]then the value of \[25{{a}^{2}}+40ab+16{{b}^{2}}\]is

    A) \[1\]

    B) \[-1\]

    C) \[0\]

    D) \[2\]

    Correct Answer: A

    Solution :

    [a] \[{{(5a+4b)}^{2}}=25{{a}^{2}}+40ab+16{{b}^{2}}\] Given,   \[a=23,\]\[b=-29\] \[\therefore \]      \[{{(5a+4b)}^{2}}={{[5\times 23+4\,(-29)]}^{2}}\] \[={{(115-116)}^{2}}\] \[={{(-1)}^{2}}=1\]


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