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Let a,b,cinR. If f(x)=ax^2+bx+c and a+b+...

Let a,b,c`in`R. If `f(x)=ax^2+bx+c` and `a+b+c=3` and `f(x+y)=f(x)+f(y)+xy` then `sum_(n=1)^10 f(n)` is

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