Evaluate
8-14i
Real Part
8
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11\times 1+11\left(-i\right)-3i-3\left(-1\right)i^{2}
Multiply complex numbers 11-3i and 1-i like you multiply binomials.
11\times 1+11\left(-i\right)-3i-3\left(-1\right)\left(-1\right)
By definition, i^{2} is -1.
11-11i-3i-3
Do the multiplications.
11-3+\left(-11-3\right)i
Combine the real and imaginary parts.
8-14i
Do the additions.
Re(11\times 1+11\left(-i\right)-3i-3\left(-1\right)i^{2})
Multiply complex numbers 11-3i and 1-i like you multiply binomials.
Re(11\times 1+11\left(-i\right)-3i-3\left(-1\right)\left(-1\right))
By definition, i^{2} is -1.
Re(11-11i-3i-3)
Do the multiplications in 11\times 1+11\left(-i\right)-3i-3\left(-1\right)\left(-1\right).
Re(11-3+\left(-11-3\right)i)
Combine the real and imaginary parts in 11-11i-3i-3.
Re(8-14i)
Do the additions in 11-3+\left(-11-3\right)i.
8
The real part of 8-14i is 8.
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