Question

Выполните действия: 1) ((3a+b)^2-(a+3b)^2)*2ab 2) ((x^2+2x)^2+(2x^2-x)^2):5x^2 помогите пожалуйста срочно надо

Answer 1

1)...=(9a^2+b^2-a^2+9b^2)*2ab=(8a^2+10b^2)*2ab=16ba^3+20ab^3
2)...=(x^4+4x^2+4x^4-x^2)/5x^2=(5x^4-3x^2)/5x^2

Answer 2

Step-by-step solution

Let's break this down step-by-step:

1. The first part is: ``` ((3a+b)^2-(a+3b)^2)*2ab ```

Expanding this out: ``` (9a^2+6ab+b^2)-(a^2+6ab+9b^2))*2ab ```

Simplifying: ``` (8a^2-8b^2)*2ab ```

The final result for the first part is: ``` 16a^3b-16ab^3 ```

2. The second part is: ``` ((x^2+2x)^2+(2x^2-x)^2) ```

Expanding this out: ``` (x^4+4x^3+4x^2)+(4x^4-4x^3+x^2) ```

Simplifying: ``` 5x^4+8x^2 ```

3. Putting the two parts together: ``` 16a^3b-16ab^3+5x^4+8x^2 ```

So the final simplified result is: 16a^3b-16ab^3+5x^4+8x^2

Let me know if you need any clarification or have additional questions!