Question

factor the perfect square trinomial y^2-2/3y+1/9

Answer 1

fatima :) :) welcome to open study :0

Answer 2

Thank u :)

Answer 3

To complete the square for x^2 + bx + c, you divide the coefficient of the middle term by 2 to get b/2 and then complete the square as (x - b/2)^2.

y^2-2/3y+1/9
Coefficient of the middle term is -2/3.
Divide it by 2: -2/3 divided by 2 = -1/3.
(y - 1/3)^2 will complete the square.
(y - 1/3)^2 = y^2 - 2/3y + 1/9

Answer 4

Here they tell you it is a perfect square and so we can stop after doing the above. If it is not a perfect square you have to include what remains after completing the square.