Evaluate
60-32i
Real Part
60
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8\times 8+8\times \left(-2i\right)-2i\times 8-2\left(-2\right)i^{2}
Multiply complex numbers 8-2i and 8-2i like you multiply binomials.
8\times 8+8\times \left(-2i\right)-2i\times 8-2\left(-2\right)\left(-1\right)
By definition, i^{2} is -1.
64-16i-16i-4
Do the multiplications.
64-4+\left(-16-16\right)i
Combine the real and imaginary parts.
60-32i
Do the additions.
Re(8\times 8+8\times \left(-2i\right)-2i\times 8-2\left(-2\right)i^{2})
Multiply complex numbers 8-2i and 8-2i like you multiply binomials.
Re(8\times 8+8\times \left(-2i\right)-2i\times 8-2\left(-2\right)\left(-1\right))
By definition, i^{2} is -1.
Re(64-16i-16i-4)
Do the multiplications in 8\times 8+8\times \left(-2i\right)-2i\times 8-2\left(-2\right)\left(-1\right).
Re(64-4+\left(-16-16\right)i)
Combine the real and imaginary parts in 64-16i-16i-4.
Re(60-32i)
Do the additions in 64-4+\left(-16-16\right)i.
60
The real part of 60-32i is 60.
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