Question

Simplify (10+5i) / (2-i)

Answer 1

10+5i/2-i

=3+4i
if you take out the parenthesis

Answer 2

1. Rationalise the denominator
(20+10i+10i-5)/2^2-i^2

2. Collect like terms
((20-5)+(10i+10i))/2^2-i^2

3. Simplify (20-5)+(10i+10i) to 15+20i
15+20i/2^2-i^2

4. Simplify 2^2 to 4
15+20i/4-i^2

5. Use square rule
15+20i/4-(-1)

6. Simplify brackets
15+20i/4+1

7. Simplify 4+1 to 4
15+20i/5

8. Factor out the common term 5
5(2+4i)/5

9. Cancel 5
3+4i

10. Your final answer
3+4i

Have a nice day ;D