1/ (a – b + c) – (a + c) = a – b + c – a – c=a– a+ c– c– b=-b
2/ (a + b) – (b – a) + c = a + b – b + a + c=a +a+ b – b+ c=2a + c
3/ -(a + b – c) + (a – b – c) = -a - b + c + a – b – c=-a+ a- b– b + c– c=-2b
4/ a(b + c) – a(b + d) = ab + ac – ab - ad= ab – ab+ ac- ad=ac- ad=a(c-d)
5/ a(b – c) + a(d + c) = ab - ac+ad+ac= - ac+ac+ab+ad=ab+ad=a(b+d)