Question

已知x²-y²=4,那么(x-y)²(x+y)²的结果是

Answer 1

(x-y)²(x+y)²=(x-y)(x+y).(x-y)x+y)=（x²-y²）（x²-y²）=16

Answer 2

解：﹙x－y﹚²﹙x＋y﹚²＝﹙x²－y²﹚²＝4²＝16

Answer 3

x²-y²=(x-y)(x+y)4,
(x-y)²(x+y)²=[(x-y)(x+y)]²=16

Answer 4

（x-y)2(x+y)2=(x-y)(x+y)(x-y)(x+y)=(x2-y2)(x2-y2)=4*4=16

Answer 5

(x-y)²(x+y)²=[（x-y）(x+y)]²=(x²-y²)²=16