Question

if x+y+z=1, xy+yz+zx=-1 and xyz=-1,then find the value of x^3+y^3+z^3

Answer 1

given,
x+y+z = 1, xy+yz+zx = 1 and xyz = 1
now, x³+y³+z³ = (x²+y²+z²)(xyz)
= (x+y+z)(x+y+z)(xyz)
now put the value of all
= 1 * 1 * 1
= 1

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