Joe burns pip's indenture in the fire, implying that a. joe is ready to hire a new, more capable apprentice. b. he cares more for pip's future and happiness than money. c. joe is irritated with pip's betrayal. d. pip has become a master blacksmith.

The answer is B. Joe cares more for Pip's future and happiness, rather than money (keeping Pip on as a blacksmith). Burning Pip's indenture is equivalent to allowing Pip to go free, as there is no longer any document stating that Pip must continue to work for Joe.

Explanation:

It is not. For an equation to be an identity they have to work out to the same  thing on both sides.  like 5 is the same as 1+4 and 2+3.  Here, there's a -8 on one side and a 1 on the other.  There si no way for these to be made the same.  Similarly for the w terms.