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Real Part
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-i-i^{2}+\left(1+i\right)
Multiply -1-i times i.
-i-\left(-1\right)+\left(1+i\right)
By definition, i^{2} is -1.
1-i+\left(1+i\right)
Do the multiplications in -i-\left(-1\right). Reorder the terms.
1+1+\left(-1+1\right)i
Combine the real and imaginary parts.
2
Do the additions.
Re(-i-i^{2}+\left(1+i\right))
Multiply -1-i times i.
Re(-i-\left(-1\right)+\left(1+i\right))
By definition, i^{2} is -1.
Re(1-i+\left(1+i\right))
Do the multiplications in -i-\left(-1\right). Reorder the terms.
Re(1+1+\left(-1+1\right)i)
Combine the real and imaginary parts in 1-i+\left(1+i\right).
Re(2)
Do the additions in 1+1+\left(-1+1\right)i.
2
The real part of 2 is 2.