Evaluate
-26-2i
Real Part
-26
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3\left(-2\right)+3\times \left(-4i\right)-5i\left(-2\right)-5\left(-4\right)i^{2}
Multiply complex numbers 3-5i and -2-4i like you multiply binomials.
3\left(-2\right)+3\times \left(-4i\right)-5i\left(-2\right)-5\left(-4\right)\left(-1\right)
By definition, i^{2} is -1.
-6-12i+10i-20
Do the multiplications.
-6-20+\left(-12+10\right)i
Combine the real and imaginary parts.
-26-2i
Do the additions.
Re(3\left(-2\right)+3\times \left(-4i\right)-5i\left(-2\right)-5\left(-4\right)i^{2})
Multiply complex numbers 3-5i and -2-4i like you multiply binomials.
Re(3\left(-2\right)+3\times \left(-4i\right)-5i\left(-2\right)-5\left(-4\right)\left(-1\right))
By definition, i^{2} is -1.
Re(-6-12i+10i-20)
Do the multiplications in 3\left(-2\right)+3\times \left(-4i\right)-5i\left(-2\right)-5\left(-4\right)\left(-1\right).
Re(-6-20+\left(-12+10\right)i)
Combine the real and imaginary parts in -6-12i+10i-20.
Re(-26-2i)
Do the additions in -6-20+\left(-12+10\right)i.
-26
The real part of -26-2i is -26.
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