Question

(x+y)^1/3+(y+z)^1/3 = -(z+x)^1/3 then find x^3+ y^3 + z^3
Asked in ssc chsl 2018

Answer 1

Step-by-step explanation:

$using \: formula \: \: \: \: - \: \: \: (x + y) {}^{3} = {x}^{3} + {y}^{3} + 3.x.y(x + y) \\ \\ (x + y + z) {}^{3} = {x}^{3} + {y}^{3} + {z}^{3} + 3.(x + y)(y + z)(z + x)$