Evaluate
-23-2i
Real Part
-23
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-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3i^{2}
Multiply complex numbers -4+5i and 2+3i like you multiply binomials.
-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3\left(-1\right)
By definition, i^{2} is -1.
-8-12i+10i-15
Do the multiplications.
-8-15+\left(-12+10\right)i
Combine the real and imaginary parts.
-23-2i
Do the additions.
Re(-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3i^{2})
Multiply complex numbers -4+5i and 2+3i like you multiply binomials.
Re(-4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(-8-12i+10i-15)
Do the multiplications in -4\times 2-4\times \left(3i\right)+5i\times 2+5\times 3\left(-1\right).
Re(-8-15+\left(-12+10\right)i)
Combine the real and imaginary parts in -8-12i+10i-15.
Re(-23-2i)
Do the additions in -8-15+\left(-12+10\right)i.
-23
The real part of -23-2i is -23.
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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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