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Real Part
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-15+8i+2\left(1+4i\right)+1
Calculate 1+4i to the power of 2 and get -15+8i.
2\left(1+4i\right)-14+8i
Do the additions.
2+8i-14+8i
Multiply 2 and 1+4i to get 2+8i.
-12+16i
Do the additions.
Re(-15+8i+2\left(1+4i\right)+1)
Calculate 1+4i to the power of 2 and get -15+8i.
Re(2\left(1+4i\right)-14+8i)
Do the additions in -15+8i+1.
Re(2+8i-14+8i)
Multiply 2 and 1+4i to get 2+8i.
Re(-12+16i)
Do the additions in 2+8i-14+8i.
-12
The real part of -12+16i is -12.