Bashing Polynomial

Algebra Level 3

If a,b & ca,b \ \& \ c are the roots of the polynomial x32x2+3x+1x^{3}-2x^{2}+3x+1

Find the value of a5+b5+c5(a4+b4+c4)a^{5}+b^{5}+c^{5}-(a^{4}+b^{4}+c^{4})

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