Question

If x^3+y^3=x^3-y^3 then prove x+y=x-y

Answer 1

${x}^{3} + {y}^{3} = {x}^{3} - {y}^{3} \\ \\ by \: taking \: cube \: root \: on \: both \: sides \\ \\ \sqrt[3]{ {x}^{3} + {y}^{3} } = \sqrt[3]{ {x}^{3} - {y}^{3} } \\ \\ x + y = x - y$