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Real Part
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-12+9i+16i+12
Apply the distributive property by multiplying each term of 3i+4 by each term of 4i+3.
-12+12+\left(9+16\right)i
Combine the real and imaginary parts.
25i
Do the additions.
Re(-12+9i+16i+12)
Apply the distributive property by multiplying each term of 3i+4 by each term of 4i+3.
Re(-12+12+\left(9+16\right)i)
Combine the real and imaginary parts in -12+9i+16i+12.
Re(25i)
Do the additions in -12+12+\left(9+16\right)i.
0
The real part of 25i is 0.