Factor the following: 20 x^2+22 x y+6 y^2 Factor 2 out of 20 x^2+22 x y+6 y^2: 2 (10 x^2+11 x y+3 y^2) The coefficient of x^2 is 10 and the coefficient of y^2 is 3. The product of 10 and 3 is 30. The factors of 30 which sum to 11 are 5 and 6. So 10 x^2+11 x y+3 y^2 = 10 x^2+6 x y+5 x y+3 y^2 = 5 x (2 x+y)+3 y (2 x+y): 2 5 x (2 x+y)+3 y (2 x+y) Factor 2 x+y from 5 x (2 x+y)+3 y (2 x+y): Answer: | | 2 (2 x+y) (5 x+3 y)
