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Using the identity find (i)(2x+3y)2

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Using the identity find (i)(2x+3y)2

    • Posted by Annu Hephziba Biju 6 years, 3 months ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Yogita Ingle 6 years, 3 months ago

    (2x + 3y)2 = (2x)2 + 2(2x) (3y) + (3y)2 [Using the Identity (I)]

     = 4x2 + 12xy + 9y2
    We may work out (2x + 3y)2 directly.
    (2x + 3y)2 = (2x + 3y) (2x + 3y)
      = (2x) (2x) + (2x) (3y) + (3y) (2x) + (3y) (3y)
    = 4x2 + 6xy + 6 yx + 9y2 (as xy = yx)
    = 4x2 + 12xy + 9y2

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