Evaluate
-16+62i
Real Part
-16
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-7-i+9i\times 7+9i^{2}
Multiply complex numbers -1+9i and 7+i like you multiply binomials.
-7-i+9i\times 7+9\left(-1\right)
By definition, i^{2} is -1.
-7-i+63i-9
Do the multiplications.
-7-9+\left(-1+63\right)i
Combine the real and imaginary parts.
-16+62i
Do the additions.
Re(-7-i+9i\times 7+9i^{2})
Multiply complex numbers -1+9i and 7+i like you multiply binomials.
Re(-7-i+9i\times 7+9\left(-1\right))
By definition, i^{2} is -1.
Re(-7-i+63i-9)
Do the multiplications in -7-i+9i\times 7+9\left(-1\right).
Re(-7-9+\left(-1+63\right)i)
Combine the real and imaginary parts in -7-i+63i-9.
Re(-16+62i)
Do the additions in -7-9+\left(-1+63\right)i.
-16
The real part of -16+62i is -16.
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