Question

(a+2в)•(a-2в)-(a-в)²

Answer 1

Объяснение:

a2-4b2-a2+2ab-b2=2ab-5b2

Answer 2

To simplify the given expression, let's break it down step by step:

Expression: (a + 2b) * (a - 2b) - (a - b)²

Step 1: Expand the square (a - b)² = (a - b) * (a - b) = a² - 2ab - ab + b² = a² - 3ab + b²

Step 2: Apply the distributive property (a + 2b) * (a - 2b) = a * a + a * (-2b) + 2b * a + 2b * (-2b) = a² - 2ab + 2ab - 4b² = a² - 4b²

Step 3: Substitute the expanded square and simplified product into the original expression (a + 2b) * (a - 2b) - (a - b)² = (a² - 4b²) - (a² - 3ab + b²) = a² - 4b² - a² + 3ab - b² = -3b² + 3ab

Therefore, the simplified form of the expression (a + 2b) * (a - 2b) - (a - b)² is -3b² + 3ab.