need help solving this problem ,(1+5i)+(1-5i)?

Question

please show work for 10 points

Answer 1

(1+5i) + (1-5i) = 1 + 1 +5i - 5i = 2

the +5i and the -5i cancel each other out.

If you meant to multiply instead of add you get

(1+5i) (1-5i) = 1*1 + 1(-5i) + 1(+5i) + (5i)(-5i)

= 1 + (-25i^2)

= 1 + (-25(-1) )

= 1 + 25 = 26