Question

(y-2)в квадрате-2y(y+1)

Answer 1

(y - 2)² - 2y(y + 1) = y² - 4y + 4 - 2y² - 2y = - y² - 6y + 4

Answer 2

(y-2) в квадрате - 2y в квадрате - 2y
y в квадрате - 4y + 4 - 2y в квадрате-2y
-y в квадрате - 8y + 4

Answer 3

Let's simplify the expression (y-2)² - 2y(y+1).

Expanding the square term (y-2)²: (y-2)² = (y-2)(y-2) = y² - 2y - 2y + 4 = y² - 4y + 4

Now let's simplify the second term: -2y(y+1) = -2y² - 2y

Now we can combine the simplified terms: (y-2)² - 2y(y+1) = (y² - 4y + 4) - (2y² + 2y)

Expanding the brackets: y² - 4y + 4 - 2y² - 2y

Combining like terms: (1 - 2)y² + (-4 - 2)y + 4

Simplifying further: -y² - 6y + 4

Therefore, (y-2)² - 2y(y+1) simplifies to -y² - 6y + 4.