Evaluate
-54+63i
Real Part
-54
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7\times \left(9i\right)+6\times 9i^{2}
Multiply 7+6i times 9i.
7\times \left(9i\right)+6\times 9\left(-1\right)
By definition, i^{2} is -1.
-54+63i
Do the multiplications. Reorder the terms.
Re(7\times \left(9i\right)+6\times 9i^{2})
Multiply 7+6i times 9i.
Re(7\times \left(9i\right)+6\times 9\left(-1\right))
By definition, i^{2} is -1.
Re(-54+63i)
Do the multiplications in 7\times \left(9i\right)+6\times 9\left(-1\right). Reorder the terms.
-54
The real part of -54+63i is -54.
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