Evaluate
-16+2i
Real Part
-16
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2\left(-2\right)+2\times \left(4i\right)+3i\left(-2\right)+3\times 4i^{2}
Multiply complex numbers 2+3i and -2+4i like you multiply binomials.
2\left(-2\right)+2\times \left(4i\right)+3i\left(-2\right)+3\times 4\left(-1\right)
By definition, i^{2} is -1.
-4+8i-6i-12
Do the multiplications.
-4-12+\left(8-6\right)i
Combine the real and imaginary parts.
-16+2i
Do the additions.
Re(2\left(-2\right)+2\times \left(4i\right)+3i\left(-2\right)+3\times 4i^{2})
Multiply complex numbers 2+3i and -2+4i like you multiply binomials.
Re(2\left(-2\right)+2\times \left(4i\right)+3i\left(-2\right)+3\times 4\left(-1\right))
By definition, i^{2} is -1.
Re(-4+8i-6i-12)
Do the multiplications in 2\left(-2\right)+2\times \left(4i\right)+3i\left(-2\right)+3\times 4\left(-1\right).
Re(-4-12+\left(8-6\right)i)
Combine the real and imaginary parts in -4+8i-6i-12.
Re(-16+2i)
Do the additions in -4-12+\left(8-6\right)i.
-16
The real part of -16+2i is -16.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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