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(a3+b3+c3)2(a4+b4+c4)(a5+b5+c5)2 \dfrac{(a^3+b^3+c^3)^2 (a^4+b^4+c^4)}{(a^5+b^5+c^5)^2} (a5+b5+c5)2(a3+b3+c3)2(a4+b4+c4)β Let a,ba, ba,b and c cc be ββnon-zero real numbers such that a+b+c=0 a + b + c = 0a+b+c=0. The value of the above expression can be represented by mn\dfrac mnnmβ, both coprime positive integers. Calculate the value of m+nm+nm+n.
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