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(9+2i)+(1-7i) ----(1)
\n" ); document.write( "=9+2i+1-7i (attaching of brackets as well as removing of brackets is a free tool granted by associativity and here it is additive associativity)
\n" ); document.write( "=9+(2i+1)-7i (by additive associativity)
\n" ); document.write( "=9+(1+2i)-7i (by additive commutativity)(notice the swapping of 1 and 2i)
\n" ); document.write( "=(9+1)+(2i-7i) (by additive associativity)
\n" ); document.write( "=10-5i
\n" ); document.write( "Answer: 10-5i
\n" ); document.write( "Note: This above stepwise journey towards an otherwise oral problem is to give you an insight into the chronological steps involved algebraically in finally grouping like terms.
\n" ); document.write( "If you are answering an oral test then simply one glance at the given expression will register the following facts in a flash in your mind:
\n" ); document.write( "9 and 1 are like terms and are both positive and add up to 10 and
\n" ); document.write( "the two terms in i are such that one positive and the other negative and so give the sign of the larger and subtract the smaller from the larger giving -5i
\n" ); document.write( "so the answer is (10-5i) \r
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