Evaluate
13+11i
Real Part
13
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2\left(-1\right)+2\times \left(3i\right)-5i\left(-1\right)-5\times 3i^{2}
Multiply complex numbers 2-5i and -1+3i like you multiply binomials.
2\left(-1\right)+2\times \left(3i\right)-5i\left(-1\right)-5\times 3\left(-1\right)
By definition, i^{2} is -1.
-2+6i+5i+15
Do the multiplications.
-2+15+\left(6+5\right)i
Combine the real and imaginary parts.
13+11i
Do the additions.
Re(2\left(-1\right)+2\times \left(3i\right)-5i\left(-1\right)-5\times 3i^{2})
Multiply complex numbers 2-5i and -1+3i like you multiply binomials.
Re(2\left(-1\right)+2\times \left(3i\right)-5i\left(-1\right)-5\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(-2+6i+5i+15)
Do the multiplications in 2\left(-1\right)+2\times \left(3i\right)-5i\left(-1\right)-5\times 3\left(-1\right).
Re(-2+15+\left(6+5\right)i)
Combine the real and imaginary parts in -2+6i+5i+15.
Re(13+11i)
Do the additions in -2+15+\left(6+5\right)i.
13
The real part of 13+11i is 13.
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