Express the following numbers into the form a + ib where a,b are reals:
`(sqrt(7)+5i)^2(sqrt(7)+5i)^3(1+sqrt(7)i)^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)

Express the following complex number in the form a + ib : (1 + i) - (-1 + 5i)

Express the following complex number in the form of a + ib : 2(5 + i5) + i(5 + i5)

Express the following complex number in the form a + ib : (1/3 + i2/3) - ( 2 + i3/2)

Perform the following by the indicated operations. Express the result in the form x + iy,where x, y are real numbers i = sqrt(-1) : (sqrt6+5i)(sqrt6-i/5) .

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) .

Express the following in the polar form : (-16)/(1+ 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) : ((3+sqrt5 i)(3-sqrt5 i))/((sqrt3+sqrt2 i)-(sqrt3 -sqrt2 i)) .