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