Documents Binomial Identities. Expansion of (a + x) n (a + x) = a + x = 1 C 0 a + 1 C 1 x (a + x)(a + x) = aa....

Slide 1 Binomial Identities Slide 2 Expansion of (a + x) n (a + x) = a + x = 1 C 0 a + 1 C 1 x (a + x)(a + x) = aa + ax + xa + xx = x 2 + 2ax + a 2 = 2 C 0 x 2 + 2 C 1 ax…

Documents Binomial Identities

Binomial Identities Expansion of (a + x)n (a + x) = a + x = 1C0a + 1C1x (a + x)(a + x) = aa + ax + xa + xx = x2 + 2ax + a2 = 2C0x2 + 2C1ax + 2C2a2 The 4 red terms are the…