For any two vectors a and b , show that
( 1+(mod a )2) ( 1+ (mod b)2) = (mod ( 1-a.b))2 + (mod ( a+b+a*b))2

RHS =1 - a.b2 + a+b+a×b2=1 - 2a.b + a.b2+a+b+a×b . a+b+a×b=1-2a.b+a.b2+a+b.a+b+a+b.a×b + a×b.a+b + a×b.a×b=1-2a.b+a.b2+a+b2+a.a×b+b.a×b+a×b.a+a×b.b+a×b2=1-2a.b+a.b2+a+b2+0+0+0+0+a×b2=1-2a.b+a.b2+a+b2 + a×b2=1-2a.b+a.b2+a2+b2+2a.b+a×b2=1+a2+b2+a.b2+a×b2=1+a2+b2 + a2b2=1+a2 + b21+a2=1+a21+b2=LHS

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