Question

*20.) When (3x - 2)^2 is subtracted from 4x², the result in simplest form is

Answer 1

`- 5 {x}^(2) + 12x - 4`

Explanation:

`4 {x}^(2) - (3x - 2)^(2) \\ \\ = 4 {x}^(2) - [ {(3x)}^(2) - 2(3x)(2) + {(2)}^(2) ]\\ \\ = 4 {x}^(2) - [ 9 {x}^(2) - 12x + 4]\\ \\ = 4 {x}^(2) - 9 {x}^(2) + 12x - 4\\ \\ = - 5 {x}^(2) + 12x - 4`

Answer 2

-5x² + 12x - 4

Explanation:

4x² - (3x - 2)²

4x² - (3x - 2) * (3x - 2)

4x² - (9x² - 6x - 6x + 4)

4x² -1 (9x² - 6x - 6x + 4)

(4x² - 9x²) + (6x + 6x) - 4

-5x² + 12x - 4

Hope this helps!