a) A = ( a + b ) - ( a - b ) + ( a - c ) - ( a + c )
= a + b - a + b + a - c - a - c
= ( a - a + a - a ) + ( b + b ) + ( - c - c )
= 0 + 2b + 2(-c)[ - c - c = -c + ( -c )]
= 2b + 2(-c)
=2(b - c )(= 2 . [ b + ( - c ) ] )
b) B = ( a + b - c ) + ( a - b + c )- ( b + c - a ) - ( a - b - c )
B = a + b - c + a - b + c - b - c + a - a + b + c
B = ( a + a + a - a ) + ( b - b - b + b ) + ( -c + c - c + c )
B = 2a + 0 + 0
B = 2a
a,A=a+b-a+b+a-c-a-c
=2b-2c-a
b,B=a+b-c+a-b+c-b-c+a-a+b+c
=2a+0b+0c