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因式分解:2(x-2y)²-8(2x-y)²
人气:281 ℃ 时间:2020-05-30 06:50:30
解答
2(x-2y)²-8(2x-y)²
=2[(x-2y)²-4(2x-y)²]
=2[(x-2y)²-2²(2x-y)²]
=2[x-2y+2(2x-y)][x-2y-2(2x-y)]
=2(x-2y+4x-2y)(x-2y-4x+2y)
=2(5x-4y)(-3x)
=-6x(5x-4y)
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