Question

The expression below is a sum of cubes. 125x^3+144

Answer 1

The answer is false, it is not a sum of cubes.

Answer 2

$125=5^3\\\\\sqrt[3]{144}=\sqrt[3]{8\cdot18}=\sqrt[3]8\cdot\sqrt[3]{18}=2\sqrt[3]{18}\\-------------------------------\\\\125x^3+144=5^3x^3+(\sqrt[3]{144})^3=(5x)^3+(2\sqrt[3]{18})^3$