SPRÓBUJ SAM
1. Kwadrat sumy
(x + 1)2 = 
(x + 2)2 = 
(x + 3)2 = 
(x + 4)2 = 
(x + 5)2 = 
(x + 9)2 = 
(7 + x)2 = 
(12 + x)2 = 
(2x + 5)2 =2. Kwadrat różnicy
(x - 1)2 = (x - 2)2 = (x - 3)2 = (x - 5)2 = (x - 6)2 = (x - 9)2 = (7 - x)2 = (13 - x)2 = (5x - 2)2 =3. Różnica kwadratów
a) x2 - 4 =
x2 - 9 = x2 - 25 = x2 - 36 = x2 - 49 = x2 - 144 = 81 - x2 = x2 - 2 =3.Sześcian sumy
(x + 1)3 = x3 + 3x2 + 3x + 1
(x + 2)3 = x3 + 6x2 + 12x + 8(x + 5)3 = x3 + 15x2 + 75x + 1254.Sześcian różnicy
(x - 1)3 = x3 - 3x2 + 3x - 1
(x - 3)3 = x3 - 9x2 + 27x - 27
(x - 5)3 = x3 - 15x2 + 75x - 1255. Różnica sześcianów
x3 - 8 = x3 - 23 = (x - 2)(x2 + 2x + 4)
x3 - 125 = x3 - 53 = (x - 5)(x2 + 5x + 25)6.Suma sześcianów
x3 + 8 = x3 + 23 = (x + 2)(x2 - 2x + 4)
x3 + 125 = x3 + 53 = (x + 5)(x2 - 5x + 25)