x^2-2xy-3y^2+2x+10y-8因式分解

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x^2-2xy-3y^2+2x+10y-8因式分解x^2-2xy-3y^2+2x+10y-8因式分解x^2-2xy-3y^2+2x+10y-8因式分解应该是:x^2-2xy-3y^2+2x+10y-8

x^2-2xy-3y^2+2x+10y-8因式分解
x^2-2xy-3y^2+2x+10y-8
因式分解

x^2-2xy-3y^2+2x+10y-8因式分解
应该是:x^2-2xy-3y^2+2x+10y-8
=x^2+2(1-y)x-3y^2+10y-8
=x^2+2(1-y)x+(1-y)^2-(1-y)^2-3y^2+10y-8
=[x+(1-y)]^2-4y^2+12y-9
=[x+(1-y)]^2-(2y-3)^2
=[x+(1-y)-(2y-3)]*[x+(1-y)+(2y-3)]
=(X-3Y+4)(X+Y-2)

(X-3Y+4)(X+Y-2)

原式=(x-3y)(x+y)+(4x+4y)-2x+6y-8
=(x-3y)(x+y)+4(x+y)-2x+6y-8
=(x+y)(x-3y+4)-2(x-3y+4)
=(x-3y+4)(x+y-2)