2023 · Q16
If x[(a − b) + ab/(a − b)] = y[(a + b) − ab/(a + b)] and x + y = 2a³, then what is x − y equal to?
Elementary MathematicsAlgebra
- A−2b³
- B−2ab³
- C2b³
- D2ab³
Explanation
Clearing denominators: x(a^2-ab+b^2)/(a-b)=y(a^2+ab+b^2)/(a+b). With x+y=2a^3 this solves to x-y=-2b^3. Option (a).