Evaluate
-14+27i
Real Part
-14
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3\left(-6\right)+3i-4i\left(-6\right)-4i^{2}
Multiply complex numbers 3-4i and -6+i like you multiply binomials.
3\left(-6\right)+3i-4i\left(-6\right)-4\left(-1\right)
By definition, i^{2} is -1.
-18+3i+24i+4
Do the multiplications.
-18+4+\left(3+24\right)i
Combine the real and imaginary parts.
-14+27i
Do the additions.
Re(3\left(-6\right)+3i-4i\left(-6\right)-4i^{2})
Multiply complex numbers 3-4i and -6+i like you multiply binomials.
Re(3\left(-6\right)+3i-4i\left(-6\right)-4\left(-1\right))
By definition, i^{2} is -1.
Re(-18+3i+24i+4)
Do the multiplications in 3\left(-6\right)+3i-4i\left(-6\right)-4\left(-1\right).
Re(-18+4+\left(3+24\right)i)
Combine the real and imaginary parts in -18+3i+24i+4.
Re(-14+27i)
Do the additions in -18+4+\left(3+24\right)i.
-14
The real part of -14+27i is -14.
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