(1+x^2)i/(1+xi)+(x-6i)
(1 + x2)i/(1 + xi) + x- 6i → (1 + x2)i(1 - xi)/((1 + xi)(1 - xi)) + x - 6i
→ (1 + x2)i(1 - xi)/(1 + x2) + x - 6i → 1 - xi + x - 6i
→ 1 + x - (x + 6)i