1) a^3n - b^6m = (a^n)^3 - (b^2m)^3 = (a^n - b^2m)(a^2n + a^nb^2m + b^4m^2)
2) 8x^9k + 27y^6p = (2x^3k)^3 + (3y^2p)^3 = (2x^3k + 3y^2p)(4x^6k^2 - 6x^3ky^2p + 9y^4p^2)
1) a^3n - b^6m = (a^n)^3 - (b^2m)^3 = (a^n - b^2m)(a^2n + a^nb^2m + b^4m^2)
2) 8x^9k + 27y^6p = (2x^3k)^3 + (3y^2p)^3 = (2x^3k + 3y^2p)(4x^6k^2 - 6x^3ky^2p + 9y^4p^2)