Evaluate
-4-202i
Real Part
-4
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-8\times 11-8\times \left(6i\right)-14i\times 11-14\times 6i^{2}
Multiply complex numbers -8-14i and 11+6i like you multiply binomials.
-8\times 11-8\times \left(6i\right)-14i\times 11-14\times 6\left(-1\right)
By definition, i^{2} is -1.
-88-48i-154i+84
Do the multiplications.
-88+84+\left(-48-154\right)i
Combine the real and imaginary parts.
-4-202i
Do the additions.
Re(-8\times 11-8\times \left(6i\right)-14i\times 11-14\times 6i^{2})
Multiply complex numbers -8-14i and 11+6i like you multiply binomials.
Re(-8\times 11-8\times \left(6i\right)-14i\times 11-14\times 6\left(-1\right))
By definition, i^{2} is -1.
Re(-88-48i-154i+84)
Do the multiplications in -8\times 11-8\times \left(6i\right)-14i\times 11-14\times 6\left(-1\right).
Re(-88+84+\left(-48-154\right)i)
Combine the real and imaginary parts in -88-48i-154i+84.
Re(-4-202i)
Do the additions in -88+84+\left(-48-154\right)i.
-4
The real part of -4-202i is -4.
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