Question

please help me factor:

x^2+2xy+2x+y^2+2y-8

How come we dont factor out 8 with 2?

Answer 1

big hint: (x+y)^2 =?

Answer 2

I know but the other part I got wrong

Answer 3

what is (x+y)^2=?

Answer 4

and remember (x+y)^2=(x+y)(x+y)=

Answer 5

when you multiply that out what do you have

Answer 6

(x+y)^2 +2(x+y) - 8 => x+y = a

a^2 + 2a - 8 = a^2 +4a -2a -8 = (a+4)(a-2) = (x+y+4)(x+y-2)

Answer 7

Hope its Correct...