Factor 5x+xy+5y+y^2

$5 x + x y + 5 y + y^{2}$

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(5 x + x y) + 5 y + y^{2}$

Factor out the greatest common factor (GCF) from each group.

$x \cdot (5 + y) + y \cdot (5 + y)$

Factor the polynomial by factoring out the greatest common factor, $5 + y$ .

$(5 + y) (x + y)$