Evaluate
20-44i
Real Part
20
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-8\left(-4\right)-8\times \left(4i\right)+3i\left(-4\right)+3\times 4i^{2}
Multiply complex numbers -8+3i and -4+4i like you multiply binomials.
-8\left(-4\right)-8\times \left(4i\right)+3i\left(-4\right)+3\times 4\left(-1\right)
By definition, i^{2} is -1.
32-32i-12i-12
Do the multiplications.
32-12+\left(-32-12\right)i
Combine the real and imaginary parts.
20-44i
Do the additions.
Re(-8\left(-4\right)-8\times \left(4i\right)+3i\left(-4\right)+3\times 4i^{2})
Multiply complex numbers -8+3i and -4+4i like you multiply binomials.
Re(-8\left(-4\right)-8\times \left(4i\right)+3i\left(-4\right)+3\times 4\left(-1\right))
By definition, i^{2} is -1.
Re(32-32i-12i-12)
Do the multiplications in -8\left(-4\right)-8\times \left(4i\right)+3i\left(-4\right)+3\times 4\left(-1\right).
Re(32-12+\left(-32-12\right)i)
Combine the real and imaginary parts in 32-32i-12i-12.
Re(20-44i)
Do the additions in 32-12+\left(-32-12\right)i.
20
The real part of 20-44i is 20.
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