Question

Представьте в виде квадрата двучлена а) х² – 12ху + 36у² б) 4х² + 16хс² + с² Помогите пожалуйста

Answer 1

Держите))))))))))))))))

Answer 2

А) х² – 12ху + 36у²=(х-6у)^2
б) 4х² + 16хс² + с² не является квадратом двучлена

Answer 3

Quadratic Equations in the Form of a Square

To represent the given quadratic equations in the form of a square, we need to complete the square for each equation. Let's solve them one by one:

a) Equation: x² - 12xy + 36y²

To represent this equation in the form of a square, we can rewrite it as the square of a binomial. The square of the binomial (x - 6y) will give us the desired equation.

Let's expand (x - 6y)²: (x - 6y)² = x² - 12xy + 36y²

Therefore, the equation x² - 12xy + 36y² can be represented as the square of the binomial (x - 6y).

b) Equation: 4x² + 16xc² + c²

To represent this equation in the form of a square, we can rewrite it as the square of a binomial. The square of the binomial (2x + c) will give us the desired equation.

Let's expand (2x + c)²: (2x + c)² = 4x² + 4xc + c²

Therefore, the equation 4x² + 16xc² + c² can be represented as the square of the binomial (2x + c).

I hope this helps! Let me know if you have any further questions.