如果(x-y)²+M=(x+y)²,那么M等于

如果(x-y)²+M=(x+y)²,那么M等于
如果(x-y)²+M=(x+y)²,那么M等于

如果(x-y)²+M=(x+y)²,那么M等于
如果(x-y)²+M=(x+y)²,那么M等于
x²+y²-2xy+M=x²+y²+2xy;
M=4xy;
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如果(x-y)²+M=(x+y)²,那么：
M=(x+y)² - (x-y)²
=x²+2xy+y²-(x²-2xy+y²)
=4xy

(x-y)²+M=(x+y)²
(x+y)^2+M-4xy = (x+y)^2
M =4xy