#MMBLTUTORIAL #Integersmodulon
(x+y)²=x²+y². Yup, you read that right. They are indeed equal on SOME FIELDS. i.e. ℤ₂ (integers modulo 2) The field only has 2 elements, namely 0 and 1(which are actually equivalence classess). The binary operations are addition modulo 2 and multiplication modulo 2.
(It can be extended to any integer n)
Proof:
Let x,y be any arbitrary element of Z_2. Then,
(x+y)^2=x^2+2xy+y^2.
But 2xy=0.
Therefore,
(x+y)^2=x^2 + y^2.
So yeah, pwede kang maging clever sa teacher mo kapag nagawa mo ito sa exam. Hahaha. "Maam/sir you didnt say what field"
