Answer :
[tex]Greatest \ Common \ Factor \ (GCF) = x^2+2
[/tex]
[tex]The \ largest \ number \ that \ divides \ evenly \ into[/tex] [tex] \ y(x^2+2) \ and \ 3(x^2+2) \ is \ 1.[/tex]
[tex]Highest \ degree \ of \ y is none \ because, y \ is \ not \ in \ every \ term[/tex]
[tex]Highest \ degree \ of \ x^2+2 \ is \ x^2+2 [/tex]
[tex]Factor \ out \ the \ GCF[/tex]
[tex](x^2+2) \dfrac{y(x^2+2)}{x^2+2} + \dfrac{3(x^2+2)}{x^2+2} [/tex]
[tex] Simplify \ each \ term \ in \ parentheses[/tex]
[tex](x^2+2)(y+3)[/tex]
[tex]The \ largest \ number \ that \ divides \ evenly \ into[/tex] [tex] \ y(x^2+2) \ and \ 3(x^2+2) \ is \ 1.[/tex]
[tex]Highest \ degree \ of \ y is none \ because, y \ is \ not \ in \ every \ term[/tex]
[tex]Highest \ degree \ of \ x^2+2 \ is \ x^2+2 [/tex]
[tex]Factor \ out \ the \ GCF[/tex]
[tex](x^2+2) \dfrac{y(x^2+2)}{x^2+2} + \dfrac{3(x^2+2)}{x^2+2} [/tex]
[tex] Simplify \ each \ term \ in \ parentheses[/tex]
[tex](x^2+2)(y+3)[/tex]