Evaluate
-2+4i
Real Part
-2
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8\times 2+8\left(-i\right)-6\left(3-2i\right)
Multiply 8 times 2-i.
16-8i-6\left(3-2i\right)
Do the multiplications in 8\times 2+8\left(-i\right).
16-8i-\left(6\times 3+6\times \left(-2i\right)\right)
Multiply 6 times 3-2i.
16-8i-\left(18-12i\right)
Do the multiplications in 6\times 3+6\times \left(-2i\right).
16-18+\left(-8-\left(-12\right)\right)i
Subtract 18-12i from 16-8i by subtracting corresponding real and imaginary parts.
-2+4i
Subtract 18 from 16. Subtract -12 from -8.
Re(8\times 2+8\left(-i\right)-6\left(3-2i\right))
Multiply 8 times 2-i.
Re(16-8i-6\left(3-2i\right))
Do the multiplications in 8\times 2+8\left(-i\right).
Re(16-8i-\left(6\times 3+6\times \left(-2i\right)\right))
Multiply 6 times 3-2i.
Re(16-8i-\left(18-12i\right))
Do the multiplications in 6\times 3+6\times \left(-2i\right).
Re(16-18+\left(-8-\left(-12\right)\right)i)
Subtract 18-12i from 16-8i by subtracting corresponding real and imaginary parts.
Re(-2+4i)
Subtract 18 from 16. Subtract -12 from -8.
-2
The real part of -2+4i is -2.
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