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因式分解 (4x^2-9y^2)(3y-2x)+9(2x+3y)^3
人气:148 ℃ 时间:2019-09-21 04:32:39
解答
(4x^2-9y^2)(3y-2x)+9(2x+3y)^3
= (2x+3y)(2x-3y)(3y-2x)+9(2x+3y)^3
= (2x+3y)[ 9(2x+3y)^2 - (2x-3y)^2 ]
= (2x+3y)[ 3(2x+3y) + (2x-3y) ][ 3(2x+3y) - (2x-3y) ]
= (2x+3y)(8x+6y)(4x+12y)
= 8(2x+3y)(4x+3y)(x+3y)
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