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    Question

    If (6m тАУ 5n) 2 ┬а= 7 and 30mn = 60, then

    find the value of (6m + 5n) 2 ┬а+ 16mn.
    A 279 Correct Answer Incorrect Answer
    B 295 Correct Answer Incorrect Answer
    C 269 Correct Answer Incorrect Answer
    D 285 Correct Answer Incorrect Answer

    Solution

    (6m тАУ 5n) 2 ┬а= 7

    Using, (a тАУ b) 2 ┬а= (a + b) 2┬а тАУ 4ab

    (6m + 5n) 2 ┬атАУ 4 ├Ч (6m) ├Ч (5n) = 7

    (6m + 5n) 2 ┬атАУ 4 ├Ч (30mn) = 7

    (6m + 5n) 2 ┬атАУ 4 ├Ч 60 = 7

    (6m + 5n) 2 ┬атАУ 240 = 7

    (6m + 5n) 2 ┬а= 247

    16mn = 16 ├Ч (60/30) = 32

    So, (6m + 5n) 2 ┬а+ 16mn = 247 + 32 = 279

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