2x^2-xy-15y^2+6x+4y-4a^4+b^4

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2x^2-xy-15y^2+6x+4y-4
a^4+b^4

待定系数法：
设：2x^2-xy-15y^2+6x+4y-4 = (2x+ay+b)(x+cy+d)
(2x+ay+b)(x+cy+d)=2x^2+(a+2c)xy+acy^2+(b+2d)x+(ad+bc)y+bd
对比系数得到方程组,无解.
如果常数项-4改成4就有解
2x^2-xy-15y^2+6x+4y-4 = (2x+5y+2)(x-3y+2)-8
a^4+b^4
=a^4+b^4 +2a²b²-2a²b²
=(a²+b²)²-2a²b²
=[(a²+b²)+√2*ab][(a²+b²)-√2*ab]
=(a²+b²+√2*ab)(a²+b²-√2*ab)

因式分解 x-xy+3y-3x 2x+xy-y-4x+5y-6 因式分解:12xy^2(y-x)+xy^3(x-y)+4x^2y(x-y) 2X^+XY-Y^-4X+5Y-6 2x^+xy-y^-4x+5y-6=? (x+y)(x+y+2xy)+(xy+1)(xy-1)(x+y)(x-y)+4(y-1) 5x^3y*(-3y)^2+(-6xy)^2*(-xy)+xy^3*(-4x^2) 计算:2xy/(x+y)².(x+y)/4y 1-2/x+y=xy,4y+6x=xy.求xy的解? xy-2{xy-[3x^2y-(4xy^2+0.5xy)]+4x^2y}+6xy^2 因式分解：x(y-3)-(2y-6) (x+y)^3-(x-y)^2(x+y) x(x^2-xy)-(4x^2-4xy) 分解公因式分解 x(y-3)-(2y-6) 2.(x+y)^3-(x-y)^2(x+y) 3.x(x^2-xy)-(4x^2-4xy) （X-3xy+4xy-y）-[-2x-2（xy-3/2xy）-y]+6xy的过程 诺x+y=6,xy=4 求(5x-4y-3xy)-(8x-y+2xy) 化简：x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y) (x^-4y^)/(x^+2xy+y^)/(x+2y)/(2x^+2xy) 1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y) 6x^2y^2+xy-15 (-x-y)(x^2+xy+y^2)