### Examples of Computing the Square of a Complex Number

 Example 1: Square of -3-3i is ((-3)2-(-3)2+ 2*(-3)*(-3)i) = 18i Example 2: Square of 0+2i is ((0)2-(2)2+ 2*(0)*(2)i) = -4 Example 3: Square of -3+2i is ((-3)2-(2)2+ 2*(-3)*(2)i) = 5 - 12i Example 4: Square of -2-1i is ((-2)2-(-1)2+ 2*(-2)*(-1)i) = 3 + 4i Example 5: Square of 2-2i is ((2)2-(-2)2+ 2*(2)*(-2)i) = 0 - 8i Example 6: Square of 1 is ((1)2-(0)2+ 2*(1)*(0)i) = 1 Example 7: Square of 1+2i is ((1)2-(2)2+ 2*(1)*(2)i) = -3 + 4i Example 8: Square of 2-4i is ((2)2-(-4)2+ 2*(2)*(-4)i) = -12 - 16i Example 9: Square of -1+1i is ((-1)2-(1)2+ 2*(-1)*(1)i) = 0 - 2i Example 10: Square of -3-3i is ((-3)2-(-3)2+ 2*(-3)*(-3)i) = 18i Example 11: Square of 1 is ((1)2-(0)2+ 2*(1)*(0)i) = 1 Example 12: Square of -4-1i is ((-4)2-(-1)2+ 2*(-4)*(-1)i) = 15 + 8i Example 13: Square of -4i is ((0)2-(-4)2+ 2*(0)*(-4)i) = -16 Example 14: Square of 3-2i is ((3)2-(-2)2+ 2*(3)*(-2)i) = 5 - 12i Example 15: Square of 2+3i is ((2)2-(3)2+ 2*(2)*(3)i) = -5 + 12i Example 16: Square of -3+4i is ((-3)2-(4)2+ 2*(-3)*(4)i) = -7 - 24i Example 17: Square of -5-2i is ((-5)2-(-2)2+ 2*(-5)*(-2)i) = 21 + 20i Example 18: Square of 3+1i is ((3)2-(1)2+ 2*(3)*(1)i) = 8 + 6i Example 19: Square of 4-1i is ((4)2-(-1)2+ 2*(4)*(-1)i) = 15 - 8i Example 20: Square of -1+1i is ((-1)2-(1)2+ 2*(-1)*(1)i) = - 2i Example 21: Square of -2 is ((-2)2-(0)2+ 2*(-2)*(0)i) = 4 Example 22: Square of -2-5i is ((-2)2-(-5)2+ 2*(-2)*(-5)i) = -21 + 20i Example 23: Square of 4-1i is ((4)2-(-1)2+ 2*(4)*(-1)i) = 15 - 8i Example 24: Square of 1+2i is ((1)2-(2)2+ 2*(1)*(2)i) = -3 + 4i Example 25: Square of 1-4i is ((1)2-(-4)2+ 2*(1)*(-4)i) = -15 - 8i Example 26: Square of 1+4i is ((1)2-(4)2+ 2*(1)*(4)i) = -15 + 8i Example 27: Square of -3+1i is ((-3)2-(1)2+ 2*(-3)*(1)i) = 8 - 6i Example 28: Square of 2 is ((2)2-(0)2+ 2*(2)*(0)i) = 4 Example 29: Square of -4-2i is ((-4)2-(-2)2+ 2*(-4)*(-2)i) = 12 + 16i Example 30: Square of 3 is ((3)2-(0)2+ 2*(3)*(0)i) = 9