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3x 2 5xy 2y 2 x 9y 4

3x^2+5xy-2y^2+x+9y-4=3x^2+(5y+1)x-(2y^2-9y+4)=3x^2+(5y+1)x-(y-4)(2y-1)=(3x-y+4)(x+2y-1)十字交叉

3X^2+5XY-2Y^2+X+9Y-4 =(x+2y)(3x-y)+x+9y-4 =(x+2y)(3x-y)+(4x+8y-3x+y)-4 =(x+2y)(3x-y)+4(x+2y)-(3x-y)-4 =(x+2y)(3x-y) -(3x-y)+4(x+2y) -4 =(x+2y-1)(3x-y)+4(x+2y-1) =(x+2y-1)(3x-y+4)

答案如下:

分解因式3x25xy-2y2x9y-4 15x^2*(xy)-18y^2(xy)-4 =3xy(5x^2-6y^2)-4 =3xy[5(x-y)(x+y)-y^2]-4 若满意请采纳!!谢谢

原式=(3x-y)(x+2y)+x+9y-4 =(3x-y)(x+2y)-(3x-y)+4x+8y-4 =(3x-y)(x+2y-1)+4(x+2y-1) =(3x-y+4)(x+2y-1)

3X^2+5XY-2Y^2+X+9Y-4 =(x+2y)(3x-y)+x+9y-4 =(x+2y)(3x-y)+(4x+8y-3x+y)-4 =(x+2y)(3x-y)+4(x+2y)-(3x-y)-4 =(x+2y)(3x-y) -(3x-y)+4(x+2y) -4 =(x+2y-1)(3x-y)+4(x+2y-1) =(x+2y-1)(3x-y+4)

用双十字相乘法分解因式: 3x²+5xy-2y²+x+9y-4 =(3X-Y+4)(X+2Y-1)。

解: 3(x平方)+5xy - 2(y平方)+ x+9y - 4 =(3x-y)(x+2y) + x+9y -4 =(3x-y+4)(x+2y-1) 【很高兴为你解决以上问题,希望对你的学习有所帮助?≤、≥ ∠

(ax+by+c)(mx+ny+p)类型的。先配二次项,(3x-y)(x+2y),再配x,(3x+4)(x-1)。合到一块检查y,答案是(3x-y+4)(x+2y-1)

3x²+5xy-2y²+x+9y-4 用待定系数法做 因为3x²+5xy-2y²=(3x-y)(x+2y) 所以设3x²+5xy-2y²+x+9y-4=(3x-y+a)(x+2y+b) =3x²+5xy-2y²+ax+2ay+3bx-by+ab =3x²+5xy-2y²+(a+3b)x+(2a-b)y+ab 比较系数,...

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