Answer:
5/2 x^2y^2
Step-by-step explanation:
( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2
= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4
- 5/2x^2y^2 + y^4)
Distributing the negative over the parentheses:-
= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4
- 25/16x^4
+ 5/2x^2y^2 - y^4
Bringing like terms together
x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 + 5/2x^2y^2 + 16/25y^4 + 9/25y^4
- y^4
Adding like terms:-
= 5/2 x^2y^2 Answer
