化简:[(x+y)눀-(x-y)눀]÷2xy 求过程!!!

2025-03-10 13:42:09
推荐回答(4个)
回答1:

此题用的是完全平方公式
(x+y)^2=x^2+2xy+y^2
(x-y)^2=x^2-2xy+y^2
所以(x+y)^2-(x-y)^2=4xy
所以原式等于4xy/2xy=2

回答2:

[(x+y)²-(x-y)²]÷2xy

=[(x²+2xy+y²)-(x²-2xy+y²)]÷2xy

=4xy÷2xy
=2

回答3:

解:
[(x+y)²-(x-y)²]÷2xy
=[(x+y-(x-y))*(x+y+(x-y))]÷2xy
=2y*2x÷2xy
=2

回答4:

[(x+y)²-(x-y)²]÷2xy

=(4xy)÷2xy
=2