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Math Help - Exponent Pyramid

  1. #1
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    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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  2. #2
    Moo
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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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  3. #3
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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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  4. #4
    Moo
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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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  5. #5
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    Thank You.
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