1) $$5k(k^4 - 8k^3 + 12) = 5k^5 - 40k^4 + 60k$$
2) $$(x-4)(3x+5) = 3x^2 + 5x - 12x - 20 = 3x^2 - 7x - 20$$
3) $$(2n-4m)(5n+8m) = 10n^2 + 16nm - 20nm - 32m^2 = 10n^2 - 4nm - 32m^2$$
4) $$(x+2)(x^2+x-4) = x^3 + x^2 - 4x + 2x^2 + 2x - 8 = x^3 + 3x^2 - 2x - 8$$