Question

(2x-3)(2x+3) - (x-2)2 - 4x(x-1)

Answer 1

4х во второй степени -9-(2х-4)-4х во второй степени +4х
-9-2х+4+4х
-5+2х
Ответ : х= -5+2х

Answer 2

Ответ смотри на фото.

Answer 3

Let's simplify the given expression step by step:

1. (2x - 3)(2x + 3): Using the FOIL method (First, Outer, Inner, Last), we multiply the terms in each pair: = 2x * 2x + 2x * 3 - 3 * 2x - 3 * 3 = 4x^2 + 6x - 6x - 9

2. (x - 2)^2: This is a binomial squared, which means we square the first term and double the product of the two terms, and then square the second term: = x^2 - 2x - 2x + 4 = x^2 - 4x + 4

3. 4x(x - 1): Using the distributive property, we multiply each term inside the parentheses by 4x: = 4x^2 - 4x

Now, let's combine all the simplified expressions:

(2x - 3)(2x + 3) - (x - 2)^2 - 4x(x - 1) = (4x^2 + 6x - 6x - 9) - (x^2 - 4x + 4) - (4x^2 - 4x) = 4x^2 + 6x - 6x - 9 - x^2 + 4x - 4 - 4x^2 + 4x = (4x^2 - 4x^2) + (6x - 6x + 4x + 4x) - (9 + 4) = 0x^2 + 14x - 13 = 14x - 13

The simplified expression is: 14x - 13.