因式分解:9n²-4m²-1+4m(x²-3x)²-8(x²-3x)-20(2x-y)²-(3x+y)²
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![因式分解:9n²-4m²-1+4m(x²-3x)²-8(x²-3x)-20(2x-y)²-(3x+y)²](/uploads/image/z/10750282-34-2.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A9n%26%23178%3B-4m%26%23178%3B-1%2B4m%EF%BC%88x%26%23178%3B-3x%29%26%23178%3B-8%28x%26%23178%3B-3x%29-20%EF%BC%882x-y%29%26%23178%3B-%283x%2By%29%26%23178%3B)
因式分解:9n²-4m²-1+4m(x²-3x)²-8(x²-3x)-20(2x-y)²-(3x+y)²
因式分解:
9n²-4m²-1+4m
(x²-3x)²-8(x²-3x)-20
(2x-y)²-(3x+y)²
因式分解:9n²-4m²-1+4m(x²-3x)²-8(x²-3x)-20(2x-y)²-(3x+y)²
9n²-4m²-1+4m
=9n²-(4m²-4m+1)
=9n²-(2m-1)²
=(3n+2m-1)(3n-2m+1)
(x²-3x)²-8(x²-3x)-20
=[(x²-3x)-10][(x²-3x)+2]
=(x²-3x-10)(x²-3x+2)
=(x-5)(x+2)(x-2)(x-1)
(2x-y)²-(3x+y)²
=[(2x-y)+(3x+y)][(2x-y)-(3x+y)]
=(2x-y+3x+y)(2x-y-3x-y)
=5x(-5x-2y)
=-5x(5x+2y)