Question

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

    find the value of (6m + 5n) 2  + 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 – 5n) 2  = 7

    Using, (a – b) 2  = (a + b) – 4ab

    (6m + 5n) 2  – 4 × (6m) × (5n) = 7

    (6m + 5n) 2  – 4 × (30mn) = 7

    (6m + 5n) 2  – 4 × 60 = 7

    (6m + 5n) 2  – 240 = 7

    (6m + 5n) 2  = 247

    16mn = 16 × (60/30) = 32

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

    Practice Next