Evaluate
-56-8i
Real Part
-56
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8\left(-4\right)+8\times \left(-4i\right)-6i\left(-4\right)-6\left(-4\right)i^{2}
Multiply complex numbers 8-6i and -4-4i like you multiply binomials.
8\left(-4\right)+8\times \left(-4i\right)-6i\left(-4\right)-6\left(-4\right)\left(-1\right)
By definition, i^{2} is -1.
-32-32i+24i-24
Do the multiplications.
-32-24+\left(-32+24\right)i
Combine the real and imaginary parts.
-56-8i
Do the additions.
Re(8\left(-4\right)+8\times \left(-4i\right)-6i\left(-4\right)-6\left(-4\right)i^{2})
Multiply complex numbers 8-6i and -4-4i like you multiply binomials.
Re(8\left(-4\right)+8\times \left(-4i\right)-6i\left(-4\right)-6\left(-4\right)\left(-1\right))
By definition, i^{2} is -1.
Re(-32-32i+24i-24)
Do the multiplications in 8\left(-4\right)+8\times \left(-4i\right)-6i\left(-4\right)-6\left(-4\right)\left(-1\right).
Re(-32-24+\left(-32+24\right)i)
Combine the real and imaginary parts in -32-32i+24i-24.
Re(-56-8i)
Do the additions in -32-24+\left(-32+24\right)i.
-56
The real part of -56-8i is -56.
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