因式分解x^2+xy-2y^2-x+7x-6
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因式分解x^2+xy-2y^2-x+7x-6
急阿
急阿
![因式分解x^2+xy-2y^2-x+7x-6](/uploads/image/z/8275397-5-7.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3x%5E2%2Bxy-2y%5E2-x%2B7x-6)
x^2+xy-2y^2-x+7y-6
=(x+2y)(x-y)-x+7y-6
=(x+2y)(x-y)+2x+4y-3x+3y-6
=(x+2y)(x-y)+2(x+2y)-3(x-y)-6
=(x+2y-3)(x-y+2)
=(x+2y)(x-y)-x+7y-6
=(x+2y)(x-y)+2x+4y-3x+3y-6
=(x+2y)(x-y)+2(x+2y)-3(x-y)-6
=(x+2y-3)(x-y+2)