Question

(a+3b)(a+b+2)-(4+6)(a+3b-2)

Answer 1

Ответ:

Вот ответ примера данные на фото!

Answer 2

To simplify the expression (a+3b)(a+b+2)-(4+6)(a+3b-2), you can use the distributive property to expand and then combine like terms. Here's the step-by-step simplification:

1. Start by expanding each part of the expression:

   (a+3b)(a+b+2) = a(a+b+2) + 3b(a+b+2)

   (4+6)(a+3b-2) = 4(a+3b-2) + 6(a+3b-2)

2. Now, distribute the terms inside each parenthesis:

   For (a+3b)(a+b+2):

   a(a+b+2) = a^2 + ab + 2a 3b(a+b+2) = 3ab + 3b^2 + 6b

   For (4+6)(a+3b-2):

   4(a+3b-2) = 4a + 12b - 8 6(a+3b-2) = 6a + 18b - 12

3. Now, you can simplify further by combining like terms:

   (a+3b)(a+b+2)-(4+6)(a+3b-2) = (a^2 + ab + 2a + 3ab + 3b^2 + 6b) - (4a + 12b - 8 + 6a + 18b - 12)

4. Distribute the negative sign through the second parenthesis:

   (a^2 + ab + 2a + 3ab + 3b^2 + 6b) - (4a + 12b - 8 + 6a + 18b - 12) = a^2 + ab + 2a + 3ab + 3b^2 + 6b - 4a - 12b + 8 - 6a - 18b + 12

5. Now, combine like terms:

   (a^2 + ab + 3ab) + (2a - 4a - 6a) + (3b^2 + 6b - 12b - 18b) + (8 + 12) = (a^2 + 4ab) + (-8a) + (3b^2 - 24b) + 20

So, the simplified expression is:

a^2 + 4ab - 8a + 3b^2 - 24b + 20