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vaieri [72.5K]
3 years ago
11

4x2 - 12x + 9 can be factored as (2x - 3)(2x - 3) True False

Mathematics
2 answers:
serious [3.7K]3 years ago
7 0
The answer is true.....
azamat3 years ago
6 0

Answer:

(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:

Answer:  (2 x - 3)^2

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