Evaluate
3684+365i
Real Part
3684
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100+400i-\left(50+450\right)-\left(8+16i\right)-\left(8+16i\right)+100+4000-3i
Combine the real and imaginary parts.
100+400i-\left(50+450\right)-\left(8+16i\right)-\left(8+16i\right)+4100-3i
Add 100 to 4000.
100+400i-500-\left(8+16i\right)-\left(8+16i\right)+4100-3i
Add 50 and 450 to get 500.
100-500+400i-\left(8+16i\right)-\left(8+16i\right)+4100-3i
Subtract 500 from 100+400i by subtracting corresponding real and imaginary parts.
-400+400i-\left(8+16i\right)-\left(8+16i\right)+4100-3i
Subtract 500 from 100 to get -400.
-400-8+\left(400-16\right)i-\left(8+16i\right)+4100-3i
Subtract 8+16i from -400+400i by subtracting corresponding real and imaginary parts.
-408+384i-\left(8+16i\right)+4100-3i
Subtract 8 from -400. Subtract 16 from 400.
-408-8+\left(384-16\right)i+4100-3i
Subtract 8+16i from -408+384i by subtracting corresponding real and imaginary parts.
-416+368i+4100-3i
Subtract 8 from -408. Subtract 16 from 384.
-416+4100+\left(368-3\right)i
Combine the real and imaginary parts.
3684+365i
Do the additions.
Re(100+400i-\left(50+450\right)-\left(8+16i\right)-\left(8+16i\right)+100+4000-3i)
Combine the real and imaginary parts in -3i+100+4000.
Re(100+400i-\left(50+450\right)-\left(8+16i\right)-\left(8+16i\right)+4100-3i)
Add 100 to 4000.
Re(100+400i-500-\left(8+16i\right)-\left(8+16i\right)+4100-3i)
Add 50 and 450 to get 500.
Re(100-500+400i-\left(8+16i\right)-\left(8+16i\right)+4100-3i)
Subtract 500 from 100+400i by subtracting corresponding real and imaginary parts.
Re(-400+400i-\left(8+16i\right)-\left(8+16i\right)+4100-3i)
Subtract 500 from 100 to get -400.
Re(-400-8+\left(400-16\right)i-\left(8+16i\right)+4100-3i)
Subtract 8+16i from -400+400i by subtracting corresponding real and imaginary parts.
Re(-408+384i-\left(8+16i\right)+4100-3i)
Subtract 8 from -400. Subtract 16 from 400.
Re(-408-8+\left(384-16\right)i+4100-3i)
Subtract 8+16i from -408+384i by subtracting corresponding real and imaginary parts.
Re(-416+368i+4100-3i)
Subtract 8 from -408. Subtract 16 from 384.
Re(-416+4100+\left(368-3\right)i)
Combine the real and imaginary parts in -416+368i+4100-3i.
Re(3684+365i)
Do the additions in -416+4100+\left(368-3\right)i.
3684
The real part of 3684+365i is 3684.
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