因式分解x^2-xy-6y^2+4x-7y+3

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因式分解x^2-xy-6y^2+4x-7y+3因式分解x^2-xy-6y^2+4x-7y+3因式分解x^2-xy-6y^2+4x-7y+3原式=(x+2y)(x-3y)+4x-7y+3x+2y3×x-

因式分解x^2-xy-6y^2+4x-7y+3
因式分解x^2-xy-6y^2+4x-7y+3

因式分解x^2-xy-6y^2+4x-7y+3
原式=(x+2y)(x-3y)+4x-7y+3
x+2y 3
×
x-3y 1
x系数1+3=4
y系数-9+2=-7
所以原式=(x+2y+3)(x-3y+1)

x^2-xy-6y^2+4x-7y+3
=(x-3y)(x+2y)+4x-7y+3
=(x-3y+1)(x+2y+3)

十字相乘法:
1 -3 1
1 2 3
x^2-xy-6y^2+4x-7y+3
=(x-3y+1)(x+2y+3)