因式分解(1+x)^3(2-3y)^2-(x+1)(3y-2)^2+(-1-x)^2(3y-2)^3
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因式分解(1+x)^3(2-3y)^2-(x+1)(3y-2)^2+(-1-x)^2(3y-2)^3
要详细步骤,谢
要详细步骤,谢
(1+x)^3(2-3y)^2-(x+1)(3y-2)^2+(-1-x)^2(3y-2)^3
=(x+1)^3(3y-2)^2-(x+1)(3y-2)^2+(x+1)^2(3y-2)^3
=(x+1)(3y-2)^2[(x+1)^2-1+(x+1)(3y-2)]
=(x+1)(3y-2)^2[(x^2+2x+3xy-2x+3y-2)]
=(x+1)(3y-2)^2(x^2+3xy+3y-2)
=(x+1)^3(3y-2)^2-(x+1)(3y-2)^2+(x+1)^2(3y-2)^3
=(x+1)(3y-2)^2[(x+1)^2-1+(x+1)(3y-2)]
=(x+1)(3y-2)^2[(x^2+2x+3xy-2x+3y-2)]
=(x+1)(3y-2)^2(x^2+3xy+3y-2)
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