Evaluate
-14+8i
Real Part
-14
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2\left(-4\right)+2\times \left(6i\right)-4i+6i^{2}
Multiply complex numbers 2+i and -4+6i like you multiply binomials.
2\left(-4\right)+2\times \left(6i\right)-4i+6\left(-1\right)
By definition, i^{2} is -1.
-8+12i-4i-6
Do the multiplications.
-8-6+\left(12-4\right)i
Combine the real and imaginary parts.
-14+8i
Do the additions.
Re(2\left(-4\right)+2\times \left(6i\right)-4i+6i^{2})
Multiply complex numbers 2+i and -4+6i like you multiply binomials.
Re(2\left(-4\right)+2\times \left(6i\right)-4i+6\left(-1\right))
By definition, i^{2} is -1.
Re(-8+12i-4i-6)
Do the multiplications in 2\left(-4\right)+2\times \left(6i\right)-4i+6\left(-1\right).
Re(-8-6+\left(12-4\right)i)
Combine the real and imaginary parts in -8+12i-4i-6.
Re(-14+8i)
Do the additions in -8-6+\left(12-4\right)i.
-14
The real part of -14+8i is -14.
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