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Wholesome math teacher
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this post was submitted on 20 Dec 2023
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It's so strange that it was always taught me as a²+b²+2ab. Of course I know it doesn't matter, but still strange to see it this way.
It makes more sense to me because, when binomials are taught, it's usually in the form of a variable and a constant.
E.G. a = x, b = 3: (x + 3)^2. When expanded, that's usually x^2 + 6x + 9, and not x^2 + 9 + 6x.
Exactly, you are going to lower and lower powers. (Is power the word in English here?)
ax², bx¹, cx⁰
Right, but if you look in the field of probabilities, specifically when expanding binomial distributions, you go increasing powers with one and decreasing powers with the other.
ax^4 + bx^3y + cx^2y^2 + dxy^3 + ey^4
That's why it makes sense to me to read it a^2 + 2ab + b^2
Pascal's triangle https://wikimedia.org/api/rest_v1/media/math/render/svg/3a8beb14cd64d7451f9f9e4f965713d3e7e62cbb
A less maths-y approach: a is blue, b is red, ab is ~~pink~~ purple. How would you order them?
No no, ab is purple.
As you wish, my lord/lady.
FOIL reading left to right.
Me too