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Can you solve this in a good way please

Can you solve this in a good way please-example-1
User SimaWB
by
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1 Answer

5 votes

Answer:

5/2 x^2y^2

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

User Khior
by
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