Evaluate
34
Real Part
34
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5\times 5+5\times \left(3i\right)-3i\times 5-3\times 3i^{2}
Multiply complex numbers 5-3i and 5+3i like you multiply binomials.
5\times 5+5\times \left(3i\right)-3i\times 5-3\times 3\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\times 5+5\times \left(3i\right)-3i\times 5-3\times 3i^{2})
Multiply complex numbers 5-3i and 5+3i like you multiply binomials.
Re(5\times 5+5\times \left(3i\right)-3i\times 5-3\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(25+15i-15i+9)
Do the multiplications in 5\times 5+5\times \left(3i\right)-3i\times 5-3\times 3\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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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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