Verified Answer :

dalendrk

\(y(x^2+2)+3(x^2+2)=(x^2+2)(y+3)\)

\(Greatest \ Common \ Factor \ (GCF) = x^2+2\) 

\(The \ largest \ number \ that \ divides \ evenly \ into\) \(\ y(x^2+2) \ and \ 3(x^2+2) \ is \ 1.\) 

\(Highest \ degree \ of \ y is none \ because, y \ is \ not \ in \ every \ term\) 

\(Highest \ degree \ of \ x^2+2 \ is \ x^2+2\) 

\(Factor \ out \ the \ GCF\) 

\((x^2+2) \dfrac{y(x^2+2)}{x^2+2} + \dfrac{3(x^2+2)}{x^2+2}\) 

\(Simplify \ each \ term \ in \ parentheses\)

\((x^2+2)(y+3)\)

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