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Real Part
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3i\times 4+3\left(-8\right)i^{2}
Multiply 3i times 4-8i.
3i\times 4+3\left(-8\right)\left(-1\right)
By definition, i^{2} is -1.
24+12i
Do the multiplications. Reorder the terms.
Re(3i\times 4+3\left(-8\right)i^{2})
Multiply 3i times 4-8i.
Re(3i\times 4+3\left(-8\right)\left(-1\right))
By definition, i^{2} is -1.
Re(24+12i)
Do the multiplications in 3i\times 4+3\left(-8\right)\left(-1\right). Reorder the terms.
24
The real part of 24+12i is 24.