Subject

    গাণিতিক যুক্তি

    Topic

    উৎপাদক

    (a2- b2) (x2- y2) + 4abxy এর উৎপাদক কত?

    ক)
    (ax + by + ay + bx) (ax + by - ay - bx)
    খ)
    (ax + by + ay - bx) (ax + by - ay + bx)
    গ)
    (ax - by + ay + bx) (ax - by - ay + bx)
    ঘ)
    (ax - by + ay + bx) (ax + by - ay + bx)

    Explanation

    (a 2 - b 2 ) (x 2 - y 2 ) + 4abxy = a 2 x 2 − a 2 y 2 − b 2 x 2 + b 2 y 2 + 4abxy = a 2 x 2 + b 2 y 2 + 2abxy − a 2 y 2 − b 2 x 2 + 2abxy = a 2 x 2 + b 2 y 2 + 2abxy − (a 2 y 2 + b 2 x 2 - 2abxy) = (ax + by) 2 - (ay − bx) 2 = [(ax + by) + (ay − bx)] [(ax + by) − (ay − bx)] = (ax + by + ay − bx) (ax + by − ay + bx)

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