Question

(a+3)(a-2)+(a-3)(a+6) (x-2)в квадрате+(x-1)(x+1) (3a-2b)(3a+2b)-(a+3b

Answer 1

Ответ:

1) (a + 3)(a - 2) + (a - 3)(a + 6) = a² - 2a + 3a - 6 + a² + 6a - 3a - 18 = 2a² + 4a - 24 = 2(a² + 2a - 12)

2) (x - 2)² + (x - 1)(x + 1) = x² - 4x + 4 + x² - 1 = 2x² - 4x + 3

3) (3a - 2b)(3a + 2b) - (a + 3b) = 9a² - 4b² - a - 3b

Answer 2

It seems like you have an expression that needs to be simplified. Let's break it down step by step:

1. Start with the expression: (a + 3)(a - 2) + (a - 3)(a + 6) + (x - 2)^2 + (x - 1)(x + 1) + (3a - 2b)(3a + 2b) - (a + 3b)

2. Expand each of the products: (a^2 + 3a - 2a - 6) + (a^2 - 3a + 6a - 18) + (x^2 - 4x + 4) + (x^2 - 1) + (9a^2 - 4b^2) - (a + 3b)

3. Combine like terms: (a^2 + a^2 + 3a - 2a - 3a + 6a - 6 - 18) + (x^2 - 4x + 4 - 1) + (9a^2 - 4b^2) - (a + 3b)

4. Simplify further: (2a^2 + 4a - 24) + (x^2 - 4x + 3) + (9a^2 - 4b^2) - (a + 3b)

5. Combine like terms again: 2a^2 + 4a + 9a^2 - a - 24 - 3b + x^2 - 4x + 3 - 4b^2

6. Combine the remaining like terms: (2a^2 + 9a^2) + (4a - a) + (x^2 - 4x) + (-24 + 3) - 3b - 4b^2

7. Simplify further: 11a^2 + 3a + x^2 - 4x - 21 - 7b^2

So, the simplified expression is: 11a^2 + 3a + x^2 - 4x - 21 - 7b^2