分解因式2(x눀+y눀)(x+y)눀-(x눀-y눀)눀

2024-12-29 12:02:17
推荐回答(4个)
回答1:

2(x²+y²)(x+y)²-(x²-y²)²
=2(x²+y²)(x+y)²-(x-y)²(x+y)²
=[2(x²+y²)-(x-y)²](x+y)²
=(2x²+2y²-x²+2xy-y²)(x+y)²
=(x²+2xy+y²)(x+y)²
=(x+y)²(x+y)²
=(x+y)^4

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回答2:

原式=2(x²+y²)(x+y)²-(x+y)²(x-y)²
=(x+y)²(2x²+2y²-x²+2xy-y²)
=(x+y)²(x²+2xy+y²)
=(x+y)²^4

回答3:

2(x²+y²)(x+y)²-(x²-y²)²
=2(x²+y²)(x+y)²-(x+y)²(x-y)²
=(x+y)²(2(x²+y²)-(x-y)²)
=(x+y)²(2x²+2y²-x²+2xy-y²)
=(x+y)²(x²+2xy+y²)
=(x+y)²(x+y)²
=(x+y)^4

回答4:

(X+Y)4次方