Express the following in the form of (a+ib), a,b `in` R, i=`sqrt (-1)` State the values of a and b: (1+i)`(1-i)^(-1)`

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

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: (1+2i)(-2+i)

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

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: (frac{1+i}{1-i})^2

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: frac{i(4+3i)}{1-i}

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: frac{2+i}{(3-i)(1+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), a,b in R, i= sqrt (-1) State the values of a and b: ( sqrt 5 +2 sqrt (-4) )+(1- sqrt (-9) )+(2+3i)(2-3i)