Evaluate
14+18i
Real Part
14
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2\left(-2\right)+2\times \left(6i\right)-3i\left(-2\right)-3\times 6i^{2}
Multiply complex numbers 2-3i and -2+6i like you multiply binomials.
2\left(-2\right)+2\times \left(6i\right)-3i\left(-2\right)-3\times 6\left(-1\right)
By definition, i^{2} is -1.
-4+12i+6i+18
Do the multiplications.
-4+18+\left(12+6\right)i
Combine the real and imaginary parts.
14+18i
Do the additions.
Re(2\left(-2\right)+2\times \left(6i\right)-3i\left(-2\right)-3\times 6i^{2})
Multiply complex numbers 2-3i and -2+6i like you multiply binomials.
Re(2\left(-2\right)+2\times \left(6i\right)-3i\left(-2\right)-3\times 6\left(-1\right))
By definition, i^{2} is -1.
Re(-4+12i+6i+18)
Do the multiplications in 2\left(-2\right)+2\times \left(6i\right)-3i\left(-2\right)-3\times 6\left(-1\right).
Re(-4+18+\left(12+6\right)i)
Combine the real and imaginary parts in -4+12i+6i+18.
Re(14+18i)
Do the additions in -4+18+\left(12+6\right)i.
14
The real part of 14+18i is 14.
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