The expression given is,
[tex]16x^3+54y^6[/tex]Factor out common term 2:
[tex]2\left(8x^3+27y^6\right)[/tex]Then simplify the expression above by factorizing
[tex]2\left(2x+3y^2\right)\left(4x^2-6xy^2+9y^4\right)[/tex]Hence, the answer is
[tex]2\left(2x+3y^2\right)\left(4x^2-6xy^2+9y^4\right)[/tex]