Question

(2+i)/(3-i)(1+2i) please answer as soon aspossible​

Answer 1

Sol:-

(2 + i)/ (3 - i)(1 + 2i)

= (2 + i)/ 3(1 + 2i) -i(1 + 2i)

= (2 + i)/3 + 6i - i - 2i²

= (2 + i)/3 - 5i + 2

= (2 + i)/(5 - 5i)

= (2+i)(5 - 5i)/(5 - 5i)(5 - 5i)

= 2(5 - 5i) + i(5 - 5i)/(25 - 25i²)

= 10 - 10i + 5i - 5i²/ 25 + 25

= 10 - 5i + 5/50

= (15 - 5i)/50

= 5(3 - i)/50

= (3 - i)/10

= 3/10 - i/10 is Answer