Question

(7x-2y) (7x+2y)+2(x+3y)^2= 14²+12xy

Answer 1

Ответ:

Ответ: x = 1, y = 2 ..........

Answer 2

Let's simplify the left-hand side of the equation step by step:

(7x - 2y)(7x + 2y) + 2(x + 3y)^2

Expanding the first set of parentheses using the FOIL method (First, Outer, Inner, Last):

= 7x * 7x + 7x * 2y - 2y * 7x - 2y * 2y + 2(x + 3y)^2

= 49x^2 + 14xy - 14xy - 4y^2 + 2(x^2 + 6xy + 9y^2)

Now, simplify the expression inside the second set of parentheses:

= 49x^2 + 14xy - 14xy - 4y^2 + 2x^2 + 12xy + 18y^2

Combine like terms:

= 51x^2 - 2y^2 + 26xy + 18y^2

= 51x^2 + 16xy + 16y^2

Now, simplify the right-hand side of the equation:

14² + 12xy = 196 + 12xy

The equation becomes:

196 + 12xy = 51x^2 + 16xy + 16y^2

This equation is not in its simplest form. If you want to solve for specific values of x and y, further steps would be required. If you have a specific problem in mind, please provide more context or let me know what you'd like to do with this equation.