addA x y = x + y
addB x = \y -> x + y
addC = \x -> \y -> x + y

and all three add two arguments just fine

> addA 2 3

5

> addB 2 3

5

> addC 2 3

5

but I can't see how addB and addC are actually accomplishing this. addA is currying, which I don't fully follow. addC I understand beta reduction-wise

(\x -> \y -> x + y) 2 3
(\y -> 2 + y) 3
(2 + 3)
5

but I don't understand addB and what steps are happening currying/beta reduction-wise. Can someone break down the steps with addA and addB?

LB