Evaluate
-1-13i
Real Part
-1
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5\times 1+5\times \left(-2i\right)-3i-3\left(-2\right)i^{2}
Multiply complex numbers 5-3i and 1-2i like you multiply binomials.
5\times 1+5\times \left(-2i\right)-3i-3\left(-2\right)\left(-1\right)
By definition, i^{2} is -1.
5-10i-3i-6
Do the multiplications.
5-6+\left(-10-3\right)i
Combine the real and imaginary parts.
-1-13i
Do the additions.
Re(5\times 1+5\times \left(-2i\right)-3i-3\left(-2\right)i^{2})
Multiply complex numbers 5-3i and 1-2i like you multiply binomials.
Re(5\times 1+5\times \left(-2i\right)-3i-3\left(-2\right)\left(-1\right))
By definition, i^{2} is -1.
Re(5-10i-3i-6)
Do the multiplications in 5\times 1+5\times \left(-2i\right)-3i-3\left(-2\right)\left(-1\right).
Re(5-6+\left(-10-3\right)i)
Combine the real and imaginary parts in 5-10i-3i-6.
Re(-1-13i)
Do the additions in 5-6+\left(-10-3\right)i.
-1
The real part of -1-13i is -1.
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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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