4x2 - 12x + 9 can be factored as (2x - 3)(2x - 3) true false

(2 x - 3)^2 thus it's True

Step-by-step explanation:

Factor the following:

4 x^2 - 12 x + 9

Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):

2 x (2 x - 3) - 3 (2 x - 3)

Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):

(2 x - 3) (2 x - 3)

(2 x - 3) (2 x - 3) = (2 x - 3)^2:

 (2 x - 3)^2