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if x+y=9 , x^2+y^2=41 , then x^3+y^3=?...

if `x+y=9 , x^2+y^2=41 ,` then `x^3+y^3=?`

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Verify : (i) x^3+y^3=(x+y)(x^2-x y+y^2) (ii) x^3-y^3=(x-y)(x^2+x y+y^2)