Binomial identities - PowerPoint PPT Presentation

Binomial Identities

Binomial Identities. 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 + 2 C 2 a 2 The 4 red terms are the “formal” expansion of (a+x) 2

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$MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 24, Wednesday, October 29$

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 24, Wednesday, October 29

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 24, Wednesday, October 29. 5.5. Binomial Identities - Continuation. Homework (MATH 310#8W): Read 6.1. Turn in 5.5: 2,4,6,8,32 Volunteers: ____________ ____________ Problem: 32. Block Walking Model.

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$MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 22, Friday, October 24$

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 22, Friday, October 24

MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 22, Friday, October 24. 5.5. Binomial Identities. Homework (MATH 310#7F): Read Supplement (pp. 230-239) Do 5.5: All odd numbered exercises. Turn in 5.5: 10,12,20,26 Volunteers: ____________ ____________ Problem: 20.

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