An example of intangible asset

If (x² + y²) = 9 and (xy)² = 3, then find the value of (x⁴ + y⁴).

If 1/(x+ 1/(y+ 1/z)) = 13/30, then find x+y+z= ?

If x ,y,z are three integers such that x +y = 8,y +z =13 and z +x =17,then the value of x² /yz   is:

If A = (7)^1/3 + (7) ^-1/3, then the value of {3A³ – 9A} will be:

3^x +3^y =10 and 3^x+y =5 then find the value of 3^x-y +3^y-x.

If 4x + 1/3x = 12 then find the value of 9x² +1/16x².

If x = √7 + √6 and y = √7 - √6 , then the value of is (x² + y²)/(x³ + y³).