Question

The expression on (3+i)(4+5i) can be written in form a+bi, where a and b are integers. What are the values of a and b? (Show your work please)

Answer 1

$(3 + i)(4 + 5i) \\ 12 + 15i + 4i + 5 {i }^{2} \\ 12 + 19i - 5 \\ 7 + 19i$

Therefore, a is 7 aka real part and b is 19 which is imaginary part.