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Old 09-15-2008, 02:35 PM
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Default Exponent Pyramid

My teacher gave us a pyramid pattern to solve the coefficients of large exponents and then a pattern for the rest of the letters and their exponents but I can't for the life of me understand/remember what he said. I am specifically stuck on (a+b)^4.


Pyramid:
............1
..........1...1
........1...2...1
......1...3...3...1
....1...4...6...4...1
1...5...10...10...5...1
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Old 09-15-2008, 02:38 PM
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Hello,
Quote:
Originally Posted by A_Reed View Post
My teacher gave us a pyramid pattern to solve the coefficients of large exponents and then a pattern for the rest of the letters and their exponents but I can't for the life of me understand/remember what he said. I am specifically stuck on (a+b)^4.


Pyramid:
............1
..........1...1
........1...2...1
......1...3...3...1
....1...4...6...4...1
1...5...10...10...5...1
Have a look at this : Pascal's triangle - Wikipedia, the free encyclopedia
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Old 09-15-2008, 03:06 PM
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So based on that do I have this correct?


a^4 + 4a^3*b + 6a^2*b^2 + 4a*b^3 +b^4
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Old 09-15-2008, 03:17 PM
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Quote:
Originally Posted by A_Reed View Post
So based on that do I have this correct?


a^4 + 4a^3*b + 6a^2*b^2 + 4a*b^3 +b^4
Exactly
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Old 09-15-2008, 03:19 PM
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Thank You.
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