Evaluate
4+15i
Real Part
4
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6+\left(5-\left(-4\right)\right)i+2\left(5+3i\right)
Subtract 6-4i from 5i by subtracting corresponding real and imaginary parts.
-6+9i+2\left(5+3i\right)
Subtract -4 from 5.
-6+9i+2\times 5+2\times \left(3i\right)
Multiply 2 times 5+3i.
-6+9i+\left(10+6i\right)
Do the multiplications in 2\times 5+2\times \left(3i\right).
-6+10+\left(9+6\right)i
Combine the real and imaginary parts.
4+15i
Do the additions.
Re(6+\left(5-\left(-4\right)\right)i+2\left(5+3i\right))
Subtract 6-4i from 5i by subtracting corresponding real and imaginary parts.
Re(-6+9i+2\left(5+3i\right))
Subtract -4 from 5.
Re(-6+9i+2\times 5+2\times \left(3i\right))
Multiply 2 times 5+3i.
Re(-6+9i+\left(10+6i\right))
Do the multiplications in 2\times 5+2\times \left(3i\right).
Re(-6+10+\left(9+6\right)i)
Combine the real and imaginary parts in -6+9i+10+6i.
Re(4+15i)
Do the additions in -6+10+\left(9+6\right)i.
4
The real part of 4+15i is 4.
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Limits
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