Question

(2a-5b)²-(2a+5b)² x(x-2)-(x-3)² y(3y-2)²-9y(4+y)² (x+4)²-(x-2)(x+2) ПЖ!!!!!!

Answer 1

Вот. Если что-то непонятно, напишите.

Answer 2

Решение на фото будут вопросы пишите

Answer 3

To simplify the given expression, let's break it down step by step:

1. (2a-5b)² - (2a+5b)²: We can simplify this using the identity (a-b)² = a² - 2ab + b²: (2a-5b)² = (2a)² - 2(2a)(5b) + (5b)² = 4a² - 20ab + 25b²

   (2a+5b)² = (2a)² + 2(2a)(5b) + (5b)² = 4a² + 20ab + 25b²

   Now we can subtract them: (2a-5b)² - (2a+5b)² = (4a² - 20ab + 25b²) - (4a² + 20ab + 25b²) = 4a² - 20ab + 25b² - 4a² - 20ab - 25b² = -40ab

2. x(x-2) - (x-3)²: Expand the square (x-3)² using the identity (a-b)² = a² - 2ab + b²: (x-3)² = x² - 2(x)(3) + 3² = x² - 6x + 9

   Now substitute it back into the expression: x(x-2) - (x-3)² = x(x-2) - (x² - 6x + 9) = x² - 2x - x² + 6x - 9 = 4x - 9

3. y(3y-2)² - 9y(4+y)²: Expand the square (3y-2)² using the identity (a-b)² = a² - 2ab + b²: (3y-2)² = (3y)² - 2(3y)(2) + 2² = 9y² - 12y + 4

   (4+y)² = (4)² + 2(4)(y) + y² = 16 + 8y + y²

   Now substitute them back into the expression: y(3y-2)² - 9y(4+y)² = y(9y² - 12y + 4) - 9y(16 + 8y + y²) = 9y³ - 12y² + 4y - 144y - 72y² - 9y³ = -84y² - 140y

4. (x+4)² - (x-2)(x+2): Expand the square (x+4)²: (x+4)² = (x)² + 2(x)(4) + 4² = x² + 8x + 16

   Now expand the product (x-2)(x+2) using the identity (a-b)(a+b) = a² - b²: (x-2)(x+2) = x² - 2² = x² - 4

   Now substitute them back into the expression: (x+4)² - (x-2)(x+2) = (x²