A) a^8 - b^8 = (a^4 + b^4)(a^4 - b^4) = ((a^2 + b^2)(a^2 - b^2))(a^4 - b^4) = ((a^2 + b^2)(a + b)(a - b))(a^4 - b^4)
B) a^16 - 256 = a^16 - 16^2 = (a^8 + 16)(a^8 - 16) = (a^8 + 16)(a^4 + 4)(a^4 - 4) = (a^8 + 16)(a^4 + 4)(a^2 + 2)(a^2 - 2)
A) a^8 - b^8 = (a^4 + b^4)(a^4 - b^4) = ((a^2 + b^2)(a^2 - b^2))(a^4 - b^4) = ((a^2 + b^2)(a + b)(a - b))(a^4 - b^4)
B) a^16 - 256 = a^16 - 16^2 = (a^8 + 16)(a^8 - 16) = (a^8 + 16)(a^4 + 4)(a^4 - 4) = (a^8 + 16)(a^4 + 4)(a^2 + 2)(a^2 - 2)