Express the following numbers into the form a + ib where a,b are reals:
`(-sqrt(3)+sqrt(-2))(2sqrt(3)-i)`

Express the following complex number in the form a + ib : (4 - 2i)^2

Express the following complex number in the form a + ib : (1-i)^2

Express the following complex number in the form a + ib : (-2 + 3i)^3

Express the following complex number in the form a + ib : (3 + 5i)(3 - 5i)

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (-sqrt3+sqrt(-2))(2sqrt3-i) .

Express the following in polar form : - 4+4 sqrt3 i .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : [(sqrt5+i/2)(sqrt5-2i)] div (6+5i) .

Express the given complex number in the form a + ib : (3 - i4)^2

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (sqrt 2-sqrt 3 i)^2 .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (5+ sqrt2 i)/(1-sqrt2 i) .