Express the following in the form a + ib, `a,b in R`: `(2 + 3i) / (3 + 2i)`

Express the following in the form a + ib, a,b in R : (1 + i) / (1 - i)

Express the following in the form a + ib, a,b in R : ((1 - i) / (1 + i))^2

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (2 + 3i) (2 - 3i)