x²-y²=4,则(x-y)²(x+y)²=?
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x²-y²=4,则(x-y)²(x+y)²=?
x²-y²=4,则(x-y)²(x+y)²=?
x²-y²=4,则(x-y)²(x+y)²=?
∵(x-y)²(x+y)²=[(x-y)(x+y)]²=(x²-y²)²=4²=16
∴(x-y)²(x+y)²=16
不懂得欢迎追问.
(x-y)²(x+y)²=(x²-y²)²=16
平方差公式的应用
(x-y)²(x+y)²=(x²-y²)²=16
(x-y)²(x+y)²
=(x-y)(x-y)(x+y)(x+y)
=(x-y)(x+y)(x-y)(x+y)
=(x²-y²)(x²-y²)
=4*4=16
x²-y²
={(x-y)(x+y)}² (逆运算变形得到:由=(x-y)(x+y)=x²-y²定律得到。)
=4²
=16
谢谢。
这个题好像你省略条件了,比如x y都是整数
∵(x-y)²(x+y)²=[(x-y)(x+y)]²=(x²-y²)²=4²=16
∴(x-y)²(x+y)²=16