Evaluate
7+24i
Real Part
7
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4\times 4+4\times \left(3i\right)+3i\times 4+3\times 3i^{2}
Multiply complex numbers 4+3i and 4+3i like you multiply binomials.
4\times 4+4\times \left(3i\right)+3i\times 4+3\times 3\left(-1\right)
By definition, i^{2} is -1.
16+12i+12i-9
Do the multiplications.
16-9+\left(12+12\right)i
Combine the real and imaginary parts.
7+24i
Do the additions.
Re(4\times 4+4\times \left(3i\right)+3i\times 4+3\times 3i^{2})
Multiply complex numbers 4+3i and 4+3i like you multiply binomials.
Re(4\times 4+4\times \left(3i\right)+3i\times 4+3\times 3\left(-1\right))
By definition, i^{2} is -1.
Re(16+12i+12i-9)
Do the multiplications in 4\times 4+4\times \left(3i\right)+3i\times 4+3\times 3\left(-1\right).
Re(16-9+\left(12+12\right)i)
Combine the real and imaginary parts in 16+12i+12i-9.
Re(7+24i)
Do the additions in 16-9+\left(12+12\right)i.
7
The real part of 7+24i is 7.
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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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