Question

· a² +... ab + b² = ( ...+ b)²​

Answer 1

Відповідь:

a² + 2ab + b² = ( a + b)²​

Пояснення:

a² +... ab + b² = ( ...+ b)²​- формула квадрату суми, тому підставляємо 2 та a.

Answer 2

The equation you've written is a representation of the formula for the square of a binomial:

(a + b)² = a² + 2ab + b²

In your equation, you have a² + ... + ab + b² on the left-hand side. If you're trying to express the square of a binomial, it should look like this:

(a + b)² = a² + 2ab + b²

The dots (...) in your equation may represent additional terms or variables, but for the standard square of a binomial, the formula above is the correct one. It's based on the distributive property of multiplication over addition and can be proven using algebraic manipulations.