Evaluate
6-12i
Real Part
6
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2+4i\left(-3\right)+4\left(-1\right)i^{2}
Multiply 4i times -3-i.
2+4i\left(-3\right)+4\left(-1\right)\left(-1\right)
By definition, i^{2} is -1.
2+\left(4-12i\right)
Do the multiplications in 4i\left(-3\right)+4\left(-1\right)\left(-1\right). Reorder the terms.
2+4-12i
Combine the real and imaginary parts.
6-12i
Add 2 to 4.
Re(2+4i\left(-3\right)+4\left(-1\right)i^{2})
Multiply 4i times -3-i.
Re(2+4i\left(-3\right)+4\left(-1\right)\left(-1\right))
By definition, i^{2} is -1.
Re(2+\left(4-12i\right))
Do the multiplications in 4i\left(-3\right)+4\left(-1\right)\left(-1\right). Reorder the terms.
Re(2+4-12i)
Combine the real and imaginary parts in 2+4-12i.
Re(6-12i)
Add 2 to 4.
6
The real part of 6-12i is 6.
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