Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Factor the expression over the complex numbers.

x2 + 50

Answer 1

`Use\\\\a^2-b^2=(a-b)(a+b)\\\\i=√(-1)\to i^2=-1\\\\x^2+50=x^2-(-1)(50)=x^2-50i^2=x^2-2\cdot25i^2\\\\=x^2-2\cdot5^2i^2=x^2-2(5i)^2\\\\=x^2-(\sqrt2)^2(5i)^2=x^2-(5i\sqrt2)^2\\\\=(x-5i\sqrt2)(x+5i\sqrt2)=(x-5\sqrt2i)(x+5\sqrt2i)`

Answer 2

`x^2+50=\\\\x^2-(-50)=\\\\ (x-√(-50))(x+√(-50))=\\\\ (x-5i\sqrt2)(x+5i\sqrt2)`