(a + b)·(c + d) = a·c + a·d + b·c + b·d
Lerne auch Binomische Formeln
(a + b)^2 = a^2 + 2·a·b + b^2
(a - b)^2 = a^2 - 2·a·b + b^2
(a + b)·(a - b) = ^2 - b^2
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(13·a + 14·b)·(13·a - 14·b) = (13·a)^2 - (14·b)^2 = 169·a^2 - 196·b^2
(6·m - 6·n)^2 = 36·m^2 - 72·m·n + 36·n^2
(a + b)·(a^2 - a·b + b^2) = a^3 + b^3
(5 + m)^2 - (3 - m)^2 = (25 - 10m + m^2) - (9 - 6m + m^2) = 16·m + 16
(2·x - 4)^3 = (2·x - 4)^2·(2·x - 4) = (4x^2 - 16x + 16)·(2·x - 4) = 8·x^3 - 48·x^2 + 96·x - 64