Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!! I CANNOT RETAKE THIS!!

Factor the expression over the complex numbers.

x^2 + 25

Answer 1

$\text{Use}\\\\a^2-b^2=(a-b)(a+b)\\\\i=\sqrt{-1}\to i^2=-1\\---------------------\\\\x^2+25=x^2+5^2=x^2-(-1)(5^2)=x^2-(i^2)(5^2)=x^2-(5i)^2\\\\\boxed{x^2+25=(x-5i)(x+5i)}$