What is the average of `(x+y)^(2) and (x-y)^(2)`?

If x.y = 2/3, then what is the ratio of (3x+2y) and (3x-y) ?

What is the value of x^(2) + 2xy +y^(2) ? I. x+y=0 II. x =-y .

If x= (sqrt""5) + 1 and y = (sqrt""5) -1 , then what is the value of (x^(2)//y^(2)) + (y^(2)//x^(2)) + 4[(x//y) + (y//x)]+6 ?

If x=2,y=4 , then what is the value of x+2y+sqrt((x-2y)^2) ?

If the average of x, y, and z is 32 and the average of y and z is 27. What is the average of x and 2x?

The averge of x and 3y is 12, the average of 2x and 3z is 21. What is the average of x,y and z ?