Evaluate
45+15i
Real Part
45
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15+30i+\left(30-15i\right)
Use the distributive property to multiply 10-5i by 3i+3.
15+30+\left(30-15\right)i
Combine the real and imaginary parts in numbers 15+30i and 30-15i.
45+15i
Add 15 to 30. Add 30 to -15.
Re(15+30i+\left(30-15i\right))
Use the distributive property to multiply 10-5i by 3i+3.
Re(15+30+\left(30-15\right)i)
Combine the real and imaginary parts in numbers 15+30i and 30-15i.
Re(45+15i)
Add 15 to 30. Add 30 to -15.
45
The real part of 45+15i is 45.
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