Evaluate
-16-32i
Real Part
-16
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-2\left(-4\right)-2\times \left(4i\right)+6i\left(-4\right)+6\times 4i^{2}
Multiply complex numbers -2+6i and -4+4i like you multiply binomials.
-2\left(-4\right)-2\times \left(4i\right)+6i\left(-4\right)+6\times 4\left(-1\right)
By definition, i^{2} is -1.
8-8i-24i-24
Do the multiplications.
8-24+\left(-8-24\right)i
Combine the real and imaginary parts.
-16-32i
Do the additions.
Re(-2\left(-4\right)-2\times \left(4i\right)+6i\left(-4\right)+6\times 4i^{2})
Multiply complex numbers -2+6i and -4+4i like you multiply binomials.
Re(-2\left(-4\right)-2\times \left(4i\right)+6i\left(-4\right)+6\times 4\left(-1\right))
By definition, i^{2} is -1.
Re(8-8i-24i-24)
Do the multiplications in -2\left(-4\right)-2\times \left(4i\right)+6i\left(-4\right)+6\times 4\left(-1\right).
Re(8-24+\left(-8-24\right)i)
Combine the real and imaginary parts in 8-8i-24i-24.
Re(-16-32i)
Do the additions in 8-24+\left(-8-24\right)i.
-16
The real part of -16-32i is -16.
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