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), 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: (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: (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: (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: frac{3+2i}{2-5i} + frac{2-2i}{2+5i}

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: frac{2+sqrt -3}{4+sqrt -3}

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: frac{4i^8-3i^9+3}{3i^11-4i^10-2}

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)