Factor 4(x+y)+(x+y)^2

$4 (x + y) + {(x + y)}^{2}$

Step 1

Factor $x + y$ out of $4 (x + y)$ .

$(x + y) \cdot 4 + {(x + y)}^{2}$

Step 2

Factor $x + y$ out of ${(x + y)}^{2}$ .

$(x + y) \cdot 4 + (x + y) (x + y)$

Step 3

Factor $x + y$ out of $(x + y) \cdot 4 + (x + y) (x + y)$ .

$(x + y) (4 + x + y)$