Show that `(x^2+y^2)^4=(x^4-6x^2y^2+y^4)^2+(4x^3y-4x y^3)^2dot`

Show that (x^(2)+y^(2))^(4)=(x^(4)-6x^(2)y^(2)+y^(4))^(2)+(4x^(3)y-4xy^(3))^(2)

If x/y = (a + 2)/(a - 2) , then show that (x^(2) - y^(2))/(x^(2) + y^(2)) = (4a)/(a^(2) + 4) .

Simplify each of the following: (4x+2y)^(2)+(4x-2y)^(2)(4x+2y)^(3)-(4x-2y)^(2)

If (4x^2-3y^2):(2x^2+5y^2)=12:19 then x:y=

If" " x^(2) + y^(2) = 1, "show that, "(3x - 4x^(3))^(2) + (3y - 4y^(3))^(2) = 1.

If x/y= (a+2)/(a-2) show that (x^2-y^2)/(x^2+y^2)=(4a)/(a^2+4)

2x+3y=5 4x-5y=6

The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/(y(y^(2)+3x^(2)))=0 is (a) x^(4)+y^(4)+x^(2)y^(2)=c (b) x^(4)+y^(4)+3x^(2)y^(2)=c (c) x^(4)+y^(4)+6x^(2)y^(2)=c (d) x^(4)+y^(4)+9x^(2)y^(2)=c

Subtract: x^2-3x y+7y^2-2 from 6x y-4x^2-y^2+5

Subtract: x^2-3x y+7y^2-2 from 6x y-4x^2-y^2+5