Question

Simplify combining the like terms:

(i) a – (a – b) – b – (b – a)​

Answer 1

Answer:

a-(a-b)-b-(b-a)

= a-a+b-b-b+a

= (a+a-a)+(b-b-b)

= (2a-a)+(b-2b)

= a+(-b)

= a-b

Answer 2

= a – (a – b) – b – (b – a)

= a - a + b - b - b + a

= ( a - a + a ) + ( b - b - b )

= ( a ) + ( -b )

= a - b