Factor (x+y)a+(x+y)b+(x+y)c

$(x + y) a + (x + y) b + (x + y) c$

Step 1

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

$(x + y) (a) + (x + y) b + (x + y) c$

Step 2

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

$(x + y) (a) + (x + y) (b) + (x + y) c$

Step 3

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

$(x + y) (a) + (x + y) (b) + (x + y) (c)$

Step 4

Factor $x + y$ out of $(x + y) (a) + (x + y) (b)$ .

$(x + y) (a + b) + (x + y) (c)$

Step 5

Factor $x + y$ out of $(x + y) (a + b) + (x + y) (c)$ .

$(x + y) (a + b + c)$