Answer:
[tex]x^{2} +2[/tex]
Step-by-step explanation:
first you want to write [tex]15x^{2}[/tex] as a sum , so your equation would now be [tex]x^{4} +13x^{2} +2x^{2} +26[/tex] . next you want to factor out [tex]x^{2}[/tex] from the expression([tex]4x^{2} +13x^{2}[/tex]) so now your equation becomes [tex]x^{2}[/tex]×[tex](x^{2} +13)+2x^{2} +26[/tex] then on the other side you're going to also factor out 2 from the expression([tex]2x^{2} +26[/tex]) now your equation would be [tex]2x[/tex]×[tex](x^{2} +13)+2(x^{2} +13)[/tex] . now you want to factor out [tex]x^{2} +13[/tex] from the expression so now it is [tex](x^{2} +13)[/tex]×[tex](x^{2} +2)[/tex] the last thing you're going to do is reduce the fraction with [tex]x^{2} +13[/tex] so your equation now becomes [tex]x^{2} +2[/tex] which is your final answer .
