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X-Y+4=0 then find the value of …

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X-Y+4=0 then find the value of X^3+Y^3-12XY+64

    • Posted by Avjot Singh Mann 6 years, 7 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Gaurav Seth 6 years, 7 months ago

    Given (x + y + 4) = 0
    ⇒ x + y = –4  → (1)
    Cubing on both the sides, we get
    (x + y)3 = –43
    ⇒ x3 + y3 + 3xy(x + y) = –64
    ⇒ x3 + y3 + 3xy(–4 ) = –64   [From equation (1)]
    ⇒ x3 + y3 –12xy + 64 = 0
     

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