Question

(a+b)²-2ab-2b²=(?+?)(?-?)

Answer 1

Ответ:

============================

(a + b)² - 2ab - 2b² = a² + 2ab + b² - 2ab - 2b² = a² - b² или (a + b)(a - b)

============================

Answer 2

To factor the expression (a+b)² - 2ab - 2b², let's first expand (a+b)²:

(a+b)² = a² + 2ab + b²

Now, we can rewrite the original expression:

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

Next, let's simplify by combining like terms:

= a² + 2ab + b² - 2ab - 2b²

= a² + b²

So, (a+b)² - 2ab - 2b² factors into a² + b².

Now, if you want to represent this as a product of two binomials, it would be:

(a+b)(a+b)