8x^3+125

(2x)^3+(5)^3
(2x+3)(5x^2-6x+25)
check this for me

Your third step is not correct.

Use the fact that a^3 + b^3 = (a + b) (a^2 - ab + b^2).

Then let a = 2x and b = 5.

You get (2x + 5)(4x^2 -10x + 25)