Evaluate
73
Real Part
73
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-3\left(-3\right)-3\times \left(-8i\right)+8i\left(-3\right)+8\left(-8\right)i^{2}
Multiply complex numbers -3+8i and -3-8i like you multiply binomials.
-3\left(-3\right)-3\times \left(-8i\right)+8i\left(-3\right)+8\left(-8\right)\left(-1\right)
By definition, i^{2} is -1.
9+24i-24i+64
Do the multiplications.
9+64+\left(24-24\right)i
Combine the real and imaginary parts.
73
Do the additions.
Re(-3\left(-3\right)-3\times \left(-8i\right)+8i\left(-3\right)+8\left(-8\right)i^{2})
Multiply complex numbers -3+8i and -3-8i like you multiply binomials.
Re(-3\left(-3\right)-3\times \left(-8i\right)+8i\left(-3\right)+8\left(-8\right)\left(-1\right))
By definition, i^{2} is -1.
Re(9+24i-24i+64)
Do the multiplications in -3\left(-3\right)-3\times \left(-8i\right)+8i\left(-3\right)+8\left(-8\right)\left(-1\right).
Re(9+64+\left(24-24\right)i)
Combine the real and imaginary parts in 9+24i-24i+64.
Re(73)
Do the additions in 9+64+\left(24-24\right)i.
73
The real part of 73 is 73.
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