因式分解：3x^2y+6xy-4x-8

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因式分解：3x^2y+6xy-4x-8
因式分解：3x^2y+6xy-4x-8

因式分解：3x^2y+6xy-4x-8
解
3x²y+6xy-4x-8
=(3x²y-4x)+(6xy-8)
=x(3xy-4)+2(3xy-4)
=(x+2)(3xy-4)

3x²y+6xy-4x-8
=(3x²y+6xy)-(4x+8)
=3xy(x+2)-4(x+2)
=(3xy-4)(x+2)

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原式= 3xy(x+2)-4(x+2)
=(x+2)(3xy-4)

答：
3x^2y+6xy-4x-8
=3xy(x+2)-4(x+2)
=(3xy-4)(x+2)

3x^2y+6xy-4x-8
=xy(3x+6)-(3x+6)-(3x+6)/3
=(xy-1-1/3)(3x+6)

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