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12X1 T08 01 binomial expansions
1.
Binomial Theorem
2.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
3.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
4.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
5.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
6.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
7.
Binomial Theorem Binomial
Expansions A binomial expression is one which contains two terms.
8.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle
9.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1
10.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1
11.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1
12.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1
13.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
14.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1
15.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
16.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
17.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1
18.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1
19.
Blaise Pascal saw
a pattern which we now know as Pascal’s Triangle 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
Exercise 5A; 2ace
etc, 4, 6, 7, 9ad, 12b, 13ac, 14ace, 16a, 22, 23
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