Evaluate
30+26i
Real Part
30
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23+2i-\left(3-4i\right)^{2}
Multiply 3-2i and 5+4i to get 23+2i.
23+2i-\left(-7-24i\right)
Calculate 3-4i to the power of 2 and get -7-24i.
23+2i+\left(7+24i\right)
The opposite of -7-24i is 7+24i.
30+26i
Add 23+2i and 7+24i to get 30+26i.
Re(23+2i-\left(3-4i\right)^{2})
Multiply 3-2i and 5+4i to get 23+2i.
Re(23+2i-\left(-7-24i\right))
Calculate 3-4i to the power of 2 and get -7-24i.
Re(23+2i+\left(7+24i\right))
The opposite of -7-24i is 7+24i.
Re(30+26i)
Add 23+2i and 7+24i to get 30+26i.
30
The real part of 30+26i is 30.
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