Evaluate
46-55i
Real Part
46
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-4\left(-7\right)-4\times \left(-2i\right)+9i\left(-7\right)+9\left(-2\right)i^{2}
Multiply complex numbers -4+9i and -7-2i like you multiply binomials.
-4\left(-7\right)-4\times \left(-2i\right)+9i\left(-7\right)+9\left(-2\right)\left(-1\right)
By definition, i^{2} is -1.
28+8i-63i+18
Do the multiplications.
28+18+\left(8-63\right)i
Combine the real and imaginary parts.
46-55i
Do the additions.
Re(-4\left(-7\right)-4\times \left(-2i\right)+9i\left(-7\right)+9\left(-2\right)i^{2})
Multiply complex numbers -4+9i and -7-2i like you multiply binomials.
Re(-4\left(-7\right)-4\times \left(-2i\right)+9i\left(-7\right)+9\left(-2\right)\left(-1\right))
By definition, i^{2} is -1.
Re(28+8i-63i+18)
Do the multiplications in -4\left(-7\right)-4\times \left(-2i\right)+9i\left(-7\right)+9\left(-2\right)\left(-1\right).
Re(28+18+\left(8-63\right)i)
Combine the real and imaginary parts in 28+8i-63i+18.
Re(46-55i)
Do the additions in 28+18+\left(8-63\right)i.
46
The real part of 46-55i is 46.
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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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