(1-2i)(1+2i)/(2+i)-i^12

Question

(1-2i)(1+2i)/(2+i)-i^12

Answer 1

(1-2i)(1+2i)/(2+i) - i^12 = (1-4i^2)/(2+i) - 1 = 5/(2+i) - 1 = 5(2-i)/(4-i^2) - 1 = 2-i-1 = 1-i