F.3 maths question

2012-09-12 5:23 am
(x^2 + y^2)^2 - 4(x^2)(y^2)
=?

回答 (1)

2012-09-12 10:24 am
✔ 最佳答案
(x^2 + y^2)^2 - 4(x^2)(y^2)
= (x^2 + y^2)^2 – (2xy)^2= (x^2 + y^2 + 2xy) (x^2+ y^2 - 2xy) = (x^2 +2 xy + y^2) (x^2- 2xy + y^2 ) = (x + y)^2 (x – y)^2(x^2 + y^2)^2 - 4(x^2)(y^2) = (x + y)^2 (x – y)^2 {answer}


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