 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-1/11/a/i/solution

Direct multiplication, using

i^{2} = - 1

, gives

(3 - 2 i) (4 + 3 i) = 12 + 9 i - 8 i - 6 i^{2} = 18 + i .

Thus the real part is

18

1

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