Express the square of `i/(1+i)` in the form x + iy, where x and y are reals.

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (1-i)^4 .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : 1/i^7 .

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

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : [(1/3+7/3i)+(4+i/3)]-((-4)/3+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) : (1 - i) -(-1 + 6i) .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (1+3i)/(1-2i)^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) : 3 (7 + 7i)+i(7 + 7i) .

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (1/5+2/5i)-(4+5/2i) .