The expression (-9+i)-(12-5i) can be represented to -21+6i.
Complex Number
A complex number is represented by the following form: a+bi, where a and b are real numbers. The variables: a is the real part and bi imaginary part. See an example:
2 + 5i , then:
2 real part
5i imaginary part
About operations, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1. Thus, 9i² = 9*(-1)=-9.
When you sum or subtract complex numbers, you can only sum or subtract: the real part with the real part of each complex number and the imaginary part with the imaginary part of each complex number. See examples:
(2 + 5i) + (2 + 5i) = 4+10i
(4 + 10i) - (2 + 5i) = 2+5i
Therefore, the result for the (-9+i)-(12-5i) will be:
-9+i-12+5i= -21+6i
Read more about the complex number here:
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