Prove-that-a-b-c-d-a-c-d-b-

Question Number 1483 by Rasheed Ahmad last updated on 13/Aug/15

Prove that :

a + (b + c) + d = (a + c) + (d + b)

Commented by prakash jain last updated on 13/Aug/15

Basic properties of + operator . Or is it

something else ?

Commented by Rasheed Ahmad last updated on 14/Aug/15

O f c o u r s e b a s i c p r o p e r t i e s .

Answered by Rasheed Soomro last updated on 16/Aug/15

LHS : a + (b + c) + d

= a + (c + b) + d [Commutative w . r . t +]

= {a + (c + b)} + d

= {(a + c) + b} + d [Associative wrt +]

= (a + c) + {b + d} [∽]

= (a + c) + (d + b) [Commutative wrt +]

= RHS

Commented by 123456 last updated on 16/Aug/15

good :)

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