Selesaikanlah soal perkalian berikut, dengan memperhatikan

Selesaikanlah soal perkalian berikut, dengan memperhatikan contoh-contoh ! (x + 1)(x - 1)(x^2 + 1)(x^4 + 1) Contoh : (a + b - c) (a - b + c) = (a + b) (a - b) (a^2 - b^2 ) = [a + (b - c)] [a - (b + c)] = (a^2 - b^2 ) (a^2 - b^2 ) = a^2 -(b - c)^2 = (a^2 - b^2 )^2 = a^4 - 2 a^2 b^2 + b^4 a^2 - b^2 + 2bc - c^2 (a + b - c - d) (a - b - c + d) = (a + b)^2 (a - b)^2 = [(a - c) + (b - d)] [(a - c) - (b - d)] = (a^2 + 2ab + b^2 ) (a^2 - 2ab + b^2 ) = (a - c)^2 - (b - d)^2 = [(a^2 + b^2) + 2ab] [(a^2 + b^2 ) - 2ab] = 2^2 - 2ac + c^2 - b^2 + 2bd - d^2 (a^2 + b^2 )^2 - (2ab)^2 = a^4 + 2 a^2 b^2 + b^4 - 4 a^2 b^2 = (a + b) (a - b) (a^2 + b^2 ) a^4 - 2 a^2 b^2 + b^4 (a^2 - b^2 ) (a^2 + b^2 ) = a^4 - b^4 atau : (a + b)^2 (a - b)^2 = [(a + b) (a - b)]^2 (a^2 - b^2 )^2 = a^4 - 2 a^2 b^2 + b^4