9a²-4(b+c)² (x+2y)²-(2x-y)²
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![9a²-4(b+c)² (x+2y)²-(2x-y)²](/uploads/image/z/1987824-48-4.jpg?t=9a%26%23178%3B-4%EF%BC%88b%2Bc%EF%BC%89%26%23178%3B+%EF%BC%88x%2B2y%EF%BC%89%26%23178%3B-%EF%BC%882x-y%EF%BC%89%26%23178%3B)
9a²-4(b+c)² (x+2y)²-(2x-y)²
9a²-4(b+c)² (x+2y)²-(2x-y)²
9a²-4(b+c)² (x+2y)²-(2x-y)²
解
9a²-4(b+c)²
=(3a)²-[2(b+c)]²
=[3a-2(b+c)][3a+2(b+c)]
=(3a-2b-2c)(3a+2b+2c)
(x+2y)²-(2x-y)²
=[(x+2y)-(2x-y)][(x+2y)+(2x-y)]
=(x+2y-2x+y)(x+2y+2x-y)
=(3y-x)(3x+y)
这是两个分解因式吗?