Evaluate
34
Real Part
34
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-5\left(-5\right)-5\times \left(-3i\right)+3i\left(-5\right)+3\left(-3\right)i^{2}
Multiply complex numbers -5+3i and -5-3i like you multiply binomials.
-5\left(-5\right)-5\times \left(-3i\right)+3i\left(-5\right)+3\left(-3\right)\left(-1\right)
By definition, i^{2} is -1.
25+15i-15i+9
Do the multiplications.
25+9+\left(15-15\right)i
Combine the real and imaginary parts.
34
Do the additions.
Re(-5\left(-5\right)-5\times \left(-3i\right)+3i\left(-5\right)+3\left(-3\right)i^{2})
Multiply complex numbers -5+3i and -5-3i like you multiply binomials.
Re(-5\left(-5\right)-5\times \left(-3i\right)+3i\left(-5\right)+3\left(-3\right)\left(-1\right))
By definition, i^{2} is -1.
Re(25+15i-15i+9)
Do the multiplications in -5\left(-5\right)-5\times \left(-3i\right)+3i\left(-5\right)+3\left(-3\right)\left(-1\right).
Re(25+9+\left(15-15\right)i)
Combine the real and imaginary parts in 25+15i-15i+9.
Re(34)
Do the additions in 25+9+\left(15-15\right)i.
34
The real part of 34 is 34.
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Limits
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