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 : (2 + 3i) / (3 + 2i)

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

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