Question

2х-у 2+х²-2у Алгебра 7 класс

Answer 1

2x-2y+x²-y²=2(x-y)+(x-y)(x+y)=(x-y)(2+x+y)

Answer 2

Solving the Equation 2x - y + 2 + x² - 2y

To solve the equation 2x - y + 2 + x² - 2y, we need to simplify and rearrange the terms to isolate the variable(s). Let's break down the steps:

1. Combine like terms: - Combine the terms with the same variable. In this case, we have two terms with x and two terms with y. - The equation becomes: x² + 2x - 3y + 2.

2. Rearrange the equation: - To solve for x, we need to set the equation equal to zero. - The equation becomes: x² + 2x - 3y + 2 = 0.

3. Solve for x: - To solve the quadratic equation, we can use factoring, completing the square, or the quadratic formula. - Since the equation is not easily factorable, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). - In this case, a = 1, b = 2, and c = -3y + 2. - Plugging in these values, we get: x = (-2 ± √(2² - 4(1)(-3y + 2))) / (2(1)). - Simplifying further, we have: x = (-2 ± √(4 + 12y - 8)) / 2. - Combining like terms, we get: x = (-2 ± √(12y - 4)) / 2. - Simplifying the expression, we have: x = -1 ± √(3y - 1).

4. Conclusion: - The solution to the equation 2x - y + 2 + x² - 2y is x = -1 ± √(3y - 1).

Please note that the solution provided is based on the given equation and the steps followed to solve it. If there are any additional constraints or specific values for y, the solution may vary.