Evaluate
9-38i
Real Part
9
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6\times 4+6\times \left(-3i\right)-5i\times 4-5\left(-3\right)i^{2}
Multiply complex numbers 6-5i and 4-3i like you multiply binomials.
6\times 4+6\times \left(-3i\right)-5i\times 4-5\left(-3\right)\left(-1\right)
By definition, i^{2} is -1.
24-18i-20i-15
Do the multiplications.
24-15+\left(-18-20\right)i
Combine the real and imaginary parts.
9-38i
Do the additions.
Re(6\times 4+6\times \left(-3i\right)-5i\times 4-5\left(-3\right)i^{2})
Multiply complex numbers 6-5i and 4-3i like you multiply binomials.
Re(6\times 4+6\times \left(-3i\right)-5i\times 4-5\left(-3\right)\left(-1\right))
By definition, i^{2} is -1.
Re(24-18i-20i-15)
Do the multiplications in 6\times 4+6\times \left(-3i\right)-5i\times 4-5\left(-3\right)\left(-1\right).
Re(24-15+\left(-18-20\right)i)
Combine the real and imaginary parts in 24-18i-20i-15.
Re(9-38i)
Do the additions in 24-15+\left(-18-20\right)i.
9
The real part of 9-38i is 9.
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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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