Question #f6f50

1 Answer
Tamir E.
Nov 21, 2017

Binary operation in #RR^n# Field

Explanation:

Let #x,y in RR^n#
#=>#
#(a+b)*c = a*(b+c) = a*c+b*c# Distributive property
#a+b=b+a# Commutative property
#EE2_F 1_F+1_F=2_F#

#(x+y)(x+y)=x(x+y)+y(x*y)# Distributive property
#x(x+y)+y(x*y)=x*x+x*y+y*x+y*y# Distributive property
#x*x+x*y+y*x+y*y=x*x+x*y+x*y+y*y# Commutative property
#x*x+x*y+x*y+y*y=x*x+2*x*y+y*y# #EE2_F#

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