Row 0 1 23 2 3 4 5678 8 Pascal's Triangle 1 1 1 1 2 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 1 6 AAA + 10 10 4 5 4 5 1

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.4: Binomial Theorem
Problem 236E: your own words explain how to find the rows of the Pascal's Triangle. Write the first five rows of...
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What is (a+b)^35? What is the formula for expanding a binomial (a+b)^6? Is there any formula for finding the result without using Pascal's triangle?

Row
0
1
23
2
3
4
5678
8
Pascal's Triangle
1
1
1
1
2
1
3 3 1
1
4 6 4 1
1 5 10 10 5
1
16 15 20 15 6 1
1
7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1
1
6
AAA
+
10
10
4
5
4
5
1
Transcribed Image Text:Row 0 1 23 2 3 4 5678 8 Pascal's Triangle 1 1 1 1 2 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 1 6 AAA + 10 10 4 5 4 5 1
Problem 1 Using Pascal's Triangle
น
What is the expansion of (a + b)6? Use Pascal's Triangle.
Ta
Ca
Set
to
ISL
Cq6
I
+ + + + +
Transcribed Image Text:Problem 1 Using Pascal's Triangle น What is the expansion of (a + b)6? Use Pascal's Triangle. Ta Ca Set to ISL Cq6 I + + + + +
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