Factor the expression;
[tex]x^2+25[/tex]First of all, we take note of the following;
[tex]\begin{gathered} x^2=x\cdot x \\ 25=5\cdot5 \\ -i^2=1 \end{gathered}[/tex]Therefore, we'll now have;
[tex]\begin{gathered} x^2+25=x^2+25(-i^2) \\ x^2+25=x^2-25i^2 \\ \text{Note also that;} \\ a^2-b^2=(a+b)(a-b) \\ \text{Therefore;} \\ x^2-25i^2=(x-5i)(x+5i) \end{gathered}[/tex]ANSWER:
[tex](x-5i)(x+5i)[/tex]