因式分解.1.ax^2+(a^2+1)x+a 2.3x^2+5xy-2y^2+x+9y-4 3.4(x-y+1)+y(y
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因式分解.1.ax^2+(a^2+1)x+a 2.3x^2+5xy-2y^2+x+9y-4 3.4(x-y+1)+y(y-2x) .紧急 .
![因式分解.1.ax^2+(a^2+1)x+a 2.3x^2+5xy-2y^2+x+9y-4 3.4(x-y+1)+y(y](/uploads/image/z/4562476-52-6.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3.1.ax%5E2%2B%28a%5E2%2B1%29x%2Ba+2.3x%5E2%2B5xy-2y%5E2%2Bx%2B9y-4+3.4%28x-y%2B1%29%2By%28y)
1.=ax^2+a^2x+x+a
=ax(x+a)+x+a
=(ax+1)(x+a)
2.=3x^2+6xy-xy-2y^2+x+9y-4
=3x(x+2y)-y(x+2y)+x+9y-4
=(3x-y)(x+2y)+x+9y-4
=(3x-y)(x+2y)+4(x+2y)-3x+y-4
=(3x-y+4)(x+2y)-(3x-y+4)
=(3x-y+4)(x+2y-1)
3.=y^2-4y+4+4x-2xy
=y^2-2y-2y+4+4x-2xy
=y(y-2)-2(y-2)-2x(y-2)
=(y-2-2x)(y-2)
=ax(x+a)+x+a
=(ax+1)(x+a)
2.=3x^2+6xy-xy-2y^2+x+9y-4
=3x(x+2y)-y(x+2y)+x+9y-4
=(3x-y)(x+2y)+x+9y-4
=(3x-y)(x+2y)+4(x+2y)-3x+y-4
=(3x-y+4)(x+2y)-(3x-y+4)
=(3x-y+4)(x+2y-1)
3.=y^2-4y+4+4x-2xy
=y^2-2y-2y+4+4x-2xy
=y(y-2)-2(y-2)-2x(y-2)
=(y-2-2x)(y-2)
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