Evaluate
-17+17i
Real Part
-17
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5\left(-4\right)+5i-3i\left(-4\right)-3i^{2}
Multiply complex numbers 5-3i and -4+i like you multiply binomials.
5\left(-4\right)+5i-3i\left(-4\right)-3\left(-1\right)
By definition, i^{2} is -1.
-20+5i+12i+3
Do the multiplications.
-20+3+\left(5+12\right)i
Combine the real and imaginary parts.
-17+17i
Do the additions.
Re(5\left(-4\right)+5i-3i\left(-4\right)-3i^{2})
Multiply complex numbers 5-3i and -4+i like you multiply binomials.
Re(5\left(-4\right)+5i-3i\left(-4\right)-3\left(-1\right))
By definition, i^{2} is -1.
Re(-20+5i+12i+3)
Do the multiplications in 5\left(-4\right)+5i-3i\left(-4\right)-3\left(-1\right).
Re(-20+3+\left(5+12\right)i)
Combine the real and imaginary parts in -20+5i+12i+3.
Re(-17+17i)
Do the additions in -20+3+\left(5+12\right)i.
-17
The real part of -17+17i is -17.
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