Question

(2b+a)(a-2b)-(2b+a)2​

Answer 1

Ответ:

(2b+a)(a-2b)-(2b+a)2​=8b^2+а^2+2a

Пошаговое объяснение:

Вроде бы так

Answer 2

To simplify the expression (2b + a)(a - 2b) - (2b + a)^2, you can follow these steps:

1. Start by expanding the first term (2b + a)(a - 2b) using the distributive property (FOIL or the distributive property):

(2b + a)(a - 2b) = 2b(a) + 2b(-2b) + a(a) + a(-2b)

2. Simplify each term in the expression:

2b(a) = 2ab 2b(-2b) = -4b^2 a(a) = a^2 a(-2b) = -2ab

3. Now, rewrite the expression with the simplified terms:

2ab - 4b^2 + a^2 - 2ab

4. Combine like terms. In this case, the 2ab and -2ab terms cancel each other out:

(2ab - 2ab) - 4b^2 + a^2

5. Simplify further:

0 - 4b^2 + a^2

6. Finally, simplify the expression:

a^2 - 4b^2

So, (2b + a)(a - 2b) - (2b + a)^2 simplifies to a^2 - 4b^2.