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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)

解: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) (诚心为你解答,望采纳!)

答案如下:

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)

(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)

4x^4-37x^2y^2+9y^4 =(4x²-y²)(x²-9y²) =(2x+y)(2x-y)(x+3y)(x-3y)

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)

1. C对比各图形的标准方程,然后排除 2.x=-3/5 y=8/15

原式=(x3+3x2y-5xy2+9y3)+(-2y3+2xy2+x2y-2x3)-(4x2y-x3-3xy2+7y3)=x3+3x2y-5xy2+9y3-2y3+2xy2+x2y-2x3-4x2y+x3+3xy2-7y3=(1-2+1)x3+(3+1-4)x2y+(-5+2+3)xy2+(9-2-7)y3=0∴无论x,y取何值,原式的值均为常数0.

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