Answer/s:
[tex] x^3 + 125 = (x + \boxed{5})(x^2 - 5x + \boxed{25}) [/tex]
[tex] 8x^3 + 27 = (\boxed{2x} + 3)(4x^2 - \boxed{6x} + 9) [/tex]
[tex] a^3 - 64 = (a - \boxed{4})(\boxed{a^2} + 4a + 16)[/tex]
Sum of two cubes:
[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]
Difference of two cubes:
[tex]a^3 - b^3 = (a - b)(a^2 + ab + b^2)[/tex]