Evaluate
-46-43i
Real Part
-46
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-6-\left(-5i\right)-8i\times 6-8\left(-5\right)i^{2}
Multiply complex numbers -1-8i and 6-5i like you multiply binomials.
-6-\left(-5i\right)-8i\times 6-8\left(-5\right)\left(-1\right)
By definition, i^{2} is -1.
-6+5i-48i-40
Do the multiplications.
-6-40+\left(5-48\right)i
Combine the real and imaginary parts.
-46-43i
Do the additions.
Re(-6-\left(-5i\right)-8i\times 6-8\left(-5\right)i^{2})
Multiply complex numbers -1-8i and 6-5i like you multiply binomials.
Re(-6-\left(-5i\right)-8i\times 6-8\left(-5\right)\left(-1\right))
By definition, i^{2} is -1.
Re(-6+5i-48i-40)
Do the multiplications in -6-\left(-5i\right)-8i\times 6-8\left(-5\right)\left(-1\right).
Re(-6-40+\left(5-48\right)i)
Combine the real and imaginary parts in -6+5i-48i-40.
Re(-46-43i)
Do the additions in -6-40+\left(5-48\right)i.
-46
The real part of -46-43i is -46.
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