document.write( "Question 83950: Perform the indicated operation. Write the result in the form a + bi Show work.\r
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document.write( "(6 + 8i) - (-7 + i) \n" );
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Algebra.Com's Answer #60391 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "(6 + 8i) - (-7 + i) \n" ); document.write( ". \n" ); document.write( "The first set of parentheses is preceded by a plus sign (you can presume that because \n" ); document.write( "there is no sign actually shown). Parentheses that are preceded by a + sign (or by no sign) \n" ); document.write( "can be removed without any change to the terms they contain. This changes the given \n" ); document.write( "problem to: \n" ); document.write( ". \n" ); document.write( "6 + 8i - (-7 + i) \n" ); document.write( ". \n" ); document.write( "Notice that the remaining set of parentheses is preceded by a minus sign. The rule is that \n" ); document.write( "you can remove these parentheses if you change the signs of the terms inside the parentheses. \n" ); document.write( "Following this rule leads to the given expression now becoming: \n" ); document.write( ". \n" ); document.write( "6 + 8i + 7 - i \n" ); document.write( ". \n" ); document.write( "Now you deal with the \"regular\" integer terms separately from the terms containing \"i\". \n" ); document.write( "In other words you can combine the +6 and +7 to get +13. Then you add the 8i and the -i \n" ); document.write( "to get +7i. \n" ); document.write( ". \n" ); document.write( "The answer to your problem is the combination of these two terms and it is: \n" ); document.write( ". \n" ); document.write( "13 + 7i. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to work your way through this problem and helps you understand \n" ); document.write( "how the process works. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |