Question

Помогите прошу докажите тождество (a+b)^2 - 2ab + a^2 - b^2 =a*2a заранее спасибо)))

Answer 1

(a+b)^2 - 2ab + a^2 - b^2 = a² +2ab +b² -2ab +a² -b² = 2a² = 2a*a

Answer 2

Solving the Identity (a+b)^2 - 2ab = a^2 + b^2

To prove the identity (a+b)^2 - 2ab = a^2 + b^2, let's start by expanding the left-hand side of the equation and simplifying it step by step.

Expanding (a+b)^2: ``` (a+b)^2 = a^2 + 2ab + b^2 ```

Substituting the expanded form into the original equation: ``` (a+b)^2 - 2ab = (a^2 + 2ab + b^2) - 2ab = a^2 + 2ab + b^2 - 2ab = a^2 + b^2 ```

Therefore, we have successfully proven that (a+b)^2 - 2ab = a^2 + b^2.

Conclusion

The identity (a+b)^2 - 2ab = a^2 + b^2 has been proven by expanding the left-hand side of the equation and simplifying it step by step.