(1+2i)(5-3i)= 11+7i is correct!
You should then rewrite 3i/(1+i)= (3i)(1-i)/2 = (3+3i)/2
i[(11+7i)+ (3+3i)/2]=(-7+11i)+(-3+3i)/2 =(-17/2)+(25/2)i
Calculate the real part, the imaginary part, and the absolute value of the following expression:
i * [(1+2i)(5-3i)+3i/(1+i)].
So I did the math out this way:
(1+2i)(5-3i)= 11+7i
(11+7i)+3i/(1+i)= (4+21i)/(1+i)
i * [(4+21i)/(1+i)] = (4i-21)/(1+i)
Is this correct and what do you call the imaginary part and the real part if a denominator exists with an imaginary i?
Thanks for any help.