已知(x²+4y²)²-16x²y²
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已知(x²+4y²)²-16x²y²
![已知(x²+4y²)²-16x²y²](/uploads/image/z/4508839-55-9.jpg?t=%E5%B7%B2%E7%9F%A5%28x%26%23178%3B%2B4y%26%23178%3B%29%26%23178%3B-16x%26%23178%3By%26%23178%3B)
(x²+4y²)²-16x²y²
=[(x²+4y²)+4xy][(x²+4y²)-4xy]
=(x+2y)²(x-2y)²
=[(x²+4y²)+4xy][(x²+4y²)-4xy]
=(x+2y)²(x-2y)²
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