Question

Express the following in form of a+ib ,a,b£R I=√-1. State the values of a and b . (2+3i)(2-3i
)

Answer 1

Answer:

$(2 + 3i)(2 - 3i) \\ \\ 4 - 12i + 6i - 9 {i}^{2} \\ \\ 4 - 6i - 9 {i}^{2} \\ \\ 4 - 6i - 9( - 1) \\ \\ 4 + 9 - 6i \\ \\ 13 - 6i \\ \\ 13 + i( - 6) \\ \\ which \: is \: in \: the \: form \: of \: a + ib \\ \\ where \: i = \sqrt{ - 1}$