Question

3) (2x + 3)(2x + 3)- 4(x-1)(x+1)=49​

Answer 1

Ответ:ответ3

Объяснение:

Answer 2

To solve the equation (2x + 3)(2x + 3) - 4(x - 1)(x + 1) = 49, you'll need to expand and simplify the expressions on both sides of the equation and then solve for x. Here's how you can do it step by step:

1. Expand both sides of the equation:

(2x + 3)(2x + 3) - 4(x - 1)(x + 1) = 49

Expanding the left side:

(2x + 3)(2x + 3) = (2x + 3)^2 = 4x^2 + 12x + 9

Expanding the right side:

49

So, the equation becomes:

4x^2 + 12x + 9 - 4(x - 1)(x + 1) = 49

2. Expand the right side further:

4x^2 + 12x + 9 - 4(x^2 - 1) = 49

3. Distribute the -4 on the right side:

4x^2 + 12x + 9 - 4x^2 + 4 = 49

4. Simplify the equation:

12x + 13 = 49

5. Isolate the variable x by subtracting 13 from both sides:

12x = 49 - 13

12x = 36

6. Divide both sides by 12 to solve for x:

x = 36 / 12

x = 3

So, the solution to the equation (2x + 3)(2x + 3) - 4(x - 1)(x + 1) = 49 is x = 3.