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Given the complex numbers

\n

\\[a=\\var{z1}\\\\b=\\var{z2}\\\\c=\\var{z3}\\\\d=\\var{z4}\\]

\n

calculate the following. Enter your answers in the form

\n

\\[x+yi\\]

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$a+b=$

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No brackets are required or allowed.

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$a+c=$

", "answer": "{z1+z3}", "showPreview": false, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "notallowed": {"strings": ["(", ")"], "showStrings": false, "partialCredit": 0, "message": "

No brackets are required or allowed.

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$a-b=$

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No brackets are required or allowed.

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$a-c=$

", "answer": "{z1-z3}", "showPreview": false, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "notallowed": {"strings": ["(", ")"], "showStrings": false, "partialCredit": 0, "message": "

No brackets are required or allowed.

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$a+d=$

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No brackets are required or allowed.

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$\\simplify{{n}*b+{m}*d}=$

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