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Real Part
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5i\times 7+5\times 9i^{2}
Multiply 5i times 7+9i.
5i\times 7+5\times 9\left(-1\right)
By definition, i^{2} is -1.
-45+35i
Do the multiplications. Reorder the terms.
Re(5i\times 7+5\times 9i^{2})
Multiply 5i times 7+9i.
Re(5i\times 7+5\times 9\left(-1\right))
By definition, i^{2} is -1.
Re(-45+35i)
Do the multiplications in 5i\times 7+5\times 9\left(-1\right). Reorder the terms.
-45
The real part of -45+35i is -45.