(x+2y)²(x²+4y²)²(x-2y)²-(x四次方-2y四次方)² 急
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![(x+2y)²(x²+4y²)²(x-2y)²-(x四次方-2y四次方)² 急](/uploads/image/z/571615-7-5.jpg?t=%28x%2B2y%29%26%23178%3B%28x%26%23178%3B%2B4y%26%23178%3B%29%26%23178%3B%28x-2y%29%26%23178%3B-%28x%E5%9B%9B%E6%AC%A1%E6%96%B9-2y%E5%9B%9B%E6%AC%A1%E6%96%B9%EF%BC%89%26%23178%3B+%E6%80%A5)
(x+2y)²(x²+4y²)²(x-2y)²-(x四次方-2y四次方)² 急
(x+2y)²(x²+4y²)²(x-2y)²-(x四次方-2y四次方)² 急
(x+2y)²(x²+4y²)²(x-2y)²-(x四次方-2y四次方)² 急
原式=[(x+2y)(x-2y)]²(x²+4y²)²-(x四次方-2y四次方)²
=(x²-4y²)²(x²-4y²)²-(x四次方-2y四次方)²
=(x四次方-16y四次方)²-(x四次方-2y四次方)²
=[(x四次方-16y四次方)-(x四次方-2y四次方)]×[(x四次方-16y四次方)+(x四次方-2y
四次方)]
=-14y四次方(2x四次方-18y四次方)
(x四次方-2y四次方)²=(x²+4y²)²(x²-4y²)²
=(x+2y)²(x²+4y²)²(x-2y)²
所以原式=0