If a = 7 + √2, b = 7 - √2, then what is the value of a² + b²?

If $$4A^2+B^2=24$$​ and AB = 4, find the value of 2A+B.

Expand: $$(3m - 5n)^2$$​​

If x + y = 10 and xy = 24.96, then find the value of $$(x - y)^2.$$​​

Simplify (x - 3)² + (x + 3)².

If  $$8x^2 + 2y^2 + 18z^2 - 4xy - 6yz - 12zx = 0$$​, then find x : y : z.

If a = 5 + √6, b = 5 - √6, then what is the value of a² + b²?

If a = 7 + √2, b = 7 - √2, then what is the value of a² + b²?

If x² - y² = 255 and x + y = 17, then find x - y.

If $$2x - \frac{1}{2x} = \frac{10}{3}$$​ and x > 1, then find the value of $$x^2+\frac1{16x^2 }$$​​

The difference of squares of two consecutive odd numbers is 56. What is the sum of the two numbers?