Perhatikan contoh-contoh pemfaktoran berikut. a^2 - 2ab +

Perhatikan contoh-contoh pemfaktoran berikut. a^2 - 2ab + b^2 - c^2 = (a^2 - 2ab + b^2 ) - c^2 Faktorkanlah : = (a - b)^2 - c^2 a^2 - 2ab + b^2 - 2bc + c^2 = (a - b + c) (a - b - c) = a^2 - b^2 + 2bc - c^2 = a^2 - (b^2 - 2bc + c^2 ) = a^2 - (b - c)^2 = [a + (b - c)] [a - (b - c)] = (a + b - c) (a - b + c) = a^2 - ab + bc - c^2 = (a^2 - c^2 ) - (ab - bc) = (a + c) (a - c) - b (a - c) = (a - c) (a + c - b) = (a - c) (a - b + c) a^4 + 4 = a^4 + 4a^2 + 4 - 4a^2 = (a^2 + 2)^2 - (2a)^2 = (a^2 + 2 + 2a) (a^2 + 2 - 2a)