#Associative?

3 messages · Page 1 of 1 (latest)

sweet latch
#

An operation (say, O) is associative if (aOb)Oc = aO(bOc).
So, check whether it satisfies that property.

#

The circled ones should just be +, but the result is correct.

image.png
#

Not sure what you mean by "allowed". Everything's done by definition of the operation.
(a ⊞ b) ⊞ c = 2(a + b) ⊞ c = 2(2(a + b) + c) = 4a + 4b + 2c
a ⊞ (b ⊞ c) = a ⊞ 2(b + c) = 2(a + 2(b + c)) = 2a + 4b + 4c