Evaluate
22-6i
Real Part
22
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-6\left(-3\right)-6\times \left(2i\right)-2i\left(-3\right)-2\times 2i^{2}
Multiply complex numbers -6-2i and -3+2i like you multiply binomials.
-6\left(-3\right)-6\times \left(2i\right)-2i\left(-3\right)-2\times 2\left(-1\right)
By definition, i^{2} is -1.
18-12i+6i+4
Do the multiplications.
18+4+\left(-12+6\right)i
Combine the real and imaginary parts.
22-6i
Do the additions.
Re(-6\left(-3\right)-6\times \left(2i\right)-2i\left(-3\right)-2\times 2i^{2})
Multiply complex numbers -6-2i and -3+2i like you multiply binomials.
Re(-6\left(-3\right)-6\times \left(2i\right)-2i\left(-3\right)-2\times 2\left(-1\right))
By definition, i^{2} is -1.
Re(18-12i+6i+4)
Do the multiplications in -6\left(-3\right)-6\times \left(2i\right)-2i\left(-3\right)-2\times 2\left(-1\right).
Re(18+4+\left(-12+6\right)i)
Combine the real and imaginary parts in 18-12i+6i+4.
Re(22-6i)
Do the additions in 18+4+\left(-12+6\right)i.
22
The real part of 22-6i is 22.
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