Evaluate
13
Real Part
13
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2\times 2+2\times \left(-3i\right)+3i\times 2+3\left(-3\right)i^{2}
Multiply complex numbers 2+3i and 2-3i like you multiply binomials.
2\times 2+2\times \left(-3i\right)+3i\times 2+3\left(-3\right)\left(-1\right)
By definition, i^{2} is -1.
4-6i+6i+9
Do the multiplications.
4+9+\left(-6+6\right)i
Combine the real and imaginary parts.
13
Do the additions.
Re(2\times 2+2\times \left(-3i\right)+3i\times 2+3\left(-3\right)i^{2})
Multiply complex numbers 2+3i and 2-3i like you multiply binomials.
Re(2\times 2+2\times \left(-3i\right)+3i\times 2+3\left(-3\right)\left(-1\right))
By definition, i^{2} is -1.
Re(4-6i+6i+9)
Do the multiplications in 2\times 2+2\times \left(-3i\right)+3i\times 2+3\left(-3\right)\left(-1\right).
Re(4+9+\left(-6+6\right)i)
Combine the real and imaginary parts in 4-6i+6i+9.
Re(13)
Do the additions in 4+9+\left(-6+6\right)i.
13
The real part of 13 is 13.
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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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