Algebra Factoring Help

32+18r+r^2
Usually I am used to seeing the squared number first and then the number with the variable and then just the number, but I don't know what to do in the case, would it be
-r^2-18r-32?

No. Since addition is commutative, you can arrange the terms in any way without changing the operation. It would be r^2+18r+32.

An important thing to remember in arithmetic: 1 + 2 + 3 = 3 + 2 + 1 (ALWAYS). The example I gave you might be a simple one, but even complex-looking expressions like quadratic equations can used the same way:

32 + 18r + r^2 = r^2 + 18r + 32

Just remember when switching them around to keep the values of the numbers (negative or positive). You know this by seeing the sign to the left of the number. If there is no sign, the number is positive.

4 - 3 + 2 = -3 + 2 + 4

You do not make every value their negative. Instead, from the commutative property of addition, you can rewrite the equation in any order of terms.
a + b = b + a
32 + 18r = 18r + 32
32 + 18r + r^2 = r^2 + 18r + 32
If a minus sign is involved, same thing. Only thing is that the negative goes with the term and there is addition.
a - b = a + (-b) = (-b) + a = -b + a

r^2 + 18r + 32
Then you know it factors into
(r + 16)(r + 2)

Nah its exactly the same r^2+18r+32, doesn't matter which order you add them, order only matters when different operations are involved.

Just re-write...after all...c+b+a = a+b+c ... right?

r^2+18r+32 = (r+16)(r+2)

yes it is the same.

(x+16)(x+2)