Question 1166809
the real part is the number that is not multiplied by i.
the imaginary part is the number that is multiplied by i.


your expression is:


3i + 2 - (i + 1) + 9i
simplify this to get:
3i + 2 - i - 1 + 9i
combine like terms by adding the numbers not multiplied by i together and then adding the number multiplied by i together to get:
11i + 1
the real part is usually shown to the left of the imaginary part, so the expression becomes:
1 + 11i.


that's your answer.


here's a reference on complex number arithmetic.


<a href = "https://mathbitsnotebook.com/Algebra2/ComplexNumbers/CPArithmeticASM.html" target = "_blank">https://mathbitsnotebook.com/Algebra2/ComplexNumbers/CPArithmeticASM.html</a>