IF a + b +c = 2 , ab +bc+ca =-1 and abc = -2 find the value of a 3 + b 3 + c3
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a3+b3+c3-3abc=(a+b+c)(a2+b2+c2-ab-bc-ca)
first we have to find the value a2+b2+c2
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca
a2+b2+c2=(a+b+c)2-(2ab+2bc+2ca)
=4-2(1)
=2
a3+b2+c3-3(-2)=2*(2-(-1))
a3+b3+c3+6=2*3
a3+b3+c3+6=6
a3+b3+c3=0
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