Evaluate
32-4i
Real Part
32
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1\times 2+1\times \left(6i\right)-5i\times 2-5\times 6i^{2}
Multiply complex numbers 1-5i and 2+6i like you multiply binomials.
1\times 2+1\times \left(6i\right)-5i\times 2-5\times 6\left(-1\right)
By definition, i^{2} is -1.
2+6i-10i+30
Do the multiplications.
2+30+\left(6-10\right)i
Combine the real and imaginary parts.
32-4i
Do the additions.
Re(1\times 2+1\times \left(6i\right)-5i\times 2-5\times 6i^{2})
Multiply complex numbers 1-5i and 2+6i like you multiply binomials.
Re(1\times 2+1\times \left(6i\right)-5i\times 2-5\times 6\left(-1\right))
By definition, i^{2} is -1.
Re(2+6i-10i+30)
Do the multiplications in 1\times 2+1\times \left(6i\right)-5i\times 2-5\times 6\left(-1\right).
Re(2+30+\left(6-10\right)i)
Combine the real and imaginary parts in 2+6i-10i+30.
Re(32-4i)
Do the additions in 2+30+\left(6-10\right)i.
32
The real part of 32-4i is 32.
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