Question

FACTOR THE GCF y(x^2+2)+3(x^2+2)

Answer 1

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

Answer 2

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

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

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

$Highest \ degree \ of \ x^2+2 \ is \ x^2+2$ 

$Factor \ out \ the \ GCF$ 

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

$Simplify \ each \ term \ in \ parentheses$

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