Subject

    Bank Exam

    Topic

    Modhumoti Bank Ltd. - Probationary Officer - 2016

    If x + y = 7 and x2+ y2= 25, then which one of the following equals the value of x3+ y3?

    ক)
    25
    খ)
    35
    গ)
    65
    ঘ)
    91

    Explanation

    Solution: দেয়া আছে,  x 2 + y 2 = 25 => x 2 + y 2 = 25 => (x + y) 2 - 2xy = 25 => 7 2 - 2xy = 25 => 2xy = 24 xy = 12 x 3 + y 3 = (x + y) 3 - 3xy (x + y) = 7 - 3 × \times 12 × \times 7 = 343 - 252 = 91

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