a^2bc + ab^2c + abc^2 = abc(a^2 + ab + ac) = abc(a + b)(a + c)
a^2 - 4a^4 + 5a^5 = a^2(5a^3 - 4a^2 + 1) = a^2(a - 1)(a - 1)(5a + 1)
3x^2 - x^6 + 2x^8 = x^2(2x^6 - x^4 + 3) = x^2(x^2 - 1)(2x^2 + 3)(x^4 + 1)
2mn^3 - 4m^2n - 6m^2n^3 = 2mn(mn^2 - 2m - 3n^2) = 2mn(n - m)(m + 3n)
a^2bc + ab^2c + abc^2 = abc(a^2 + ab + ac) = abc(a + b)(a + c)
a^2 - 4a^4 + 5a^5 = a^2(5a^3 - 4a^2 + 1) = a^2(a - 1)(a - 1)(5a + 1)
3x^2 - x^6 + 2x^8 = x^2(2x^6 - x^4 + 3) = x^2(x^2 - 1)(2x^2 + 3)(x^4 + 1)
2mn^3 - 4m^2n - 6m^2n^3 = 2mn(mn^2 - 2m - 3n^2) = 2mn(n - m)(m + 3n)