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Real Part
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4i-8i^{2}
Multiply 4-8i times i.
4i-8\left(-1\right)
By definition, i^{2} is -1.
8+4i
Do the multiplications. Reorder the terms.
Re(4i-8i^{2})
Multiply 4-8i times i.
Re(4i-8\left(-1\right))
By definition, i^{2} is -1.
Re(8+4i)
Do the multiplications in 4i-8\left(-1\right). Reorder the terms.
8
The real part of 8+4i is 8.