Evaluate
476+100i
Real Part
476
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4\times 2+4\times \left(-11i\right)+4\left(-3\right)\left(-39-12i\right)
Multiply 4 times 2-11i.
8-44i+4\left(-3\right)\left(-39-12i\right)
Do the multiplications in 4\times 2+4\times \left(-11i\right).
8-44i-12\left(-39-12i\right)
Multiply 4 and -3 to get -12.
8-44i-12\left(-39\right)-12\times \left(-12i\right)
Multiply -12 times -39-12i.
8-44i+\left(468+144i\right)
Do the multiplications in -12\left(-39\right)-12\times \left(-12i\right).
8+468+\left(-44+144\right)i
Combine the real and imaginary parts.
476+100i
Do the additions.
Re(4\times 2+4\times \left(-11i\right)+4\left(-3\right)\left(-39-12i\right))
Multiply 4 times 2-11i.
Re(8-44i+4\left(-3\right)\left(-39-12i\right))
Do the multiplications in 4\times 2+4\times \left(-11i\right).
Re(8-44i-12\left(-39-12i\right))
Multiply 4 and -3 to get -12.
Re(8-44i-12\left(-39\right)-12\times \left(-12i\right))
Multiply -12 times -39-12i.
Re(8-44i+\left(468+144i\right))
Do the multiplications in -12\left(-39\right)-12\times \left(-12i\right).
Re(8+468+\left(-44+144\right)i)
Combine the real and imaginary parts in 8-44i+468+144i.
Re(476+100i)
Do the additions in 8+468+\left(-44+144\right)i.
476
The real part of 476+100i is 476.
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