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If the roots of p(x)=x3+3x2+4x−8p(x) = x^3 + 3x^2 + 4x - 8p(x)=x3+3x2+4x−8 are aaa, bbb, and ccc, then find the value of a2(1+a)+b2(1+b)+c2(1+c)a^2 (1 + a) + b^2 (1 + b) + c^2 (1 + c)a2(1+a)+b2(1+b)+c2(1+c)
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