Hello, asouthern!

I see an even stronger pattern, but . . .I have a set of expressions which are related.

The relationship is apparent in the multipliers in each line.

. .

. .

You have a variation of Pascal's Triangle . . .

. .

Each number is the sum of the two numbers directly above it.

In row 3, we have: which represents the polynomial:

Multiply by

. . and its coefficients are in row 4.

Multiply by

. . Its coefficients are in row 5.

Multiply by

. . Ites coefficients are in row 6.

So I see the powerful pattern embedded in the triangle,

. . but so far, I haven't been able to express this in a closed form.