Question

If x +y+z =1
x²+y²+z² = 2
x³+y³+z³ =3 then x⁴+y⁴+z⁴ = ?​

Answer 1

${x}^{4} + {y}^{4} + z ^{4} = (x + y + z)(x ^{3} + y ^{3} + z ^{3} ) - (xy + yz + xz)( {x}^{2} + {y}^{2} + {z}^{2} ) + xyz(x + y + z)$

this is your answer