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 + cx2y2 + dxy^3 + ey^4
That’s why it makes sense to me to read it a^2 + 2ab + b^2
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 + cx2y2 + dxy^3 + ey^4
That’s why it makes sense to me to read it a^2 + 2ab + b^2