分解因式: (2)x平方+y平方-2xy-10x+10y+16 (3)2x平方+3xy-2y平方-x+8y-6 急

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分解因式: (2)x平方+y平方-2xy-10x+10y+16 (3)2x平方+3xy-2y平方-x+8y-6 急
分解因式: (2)x平方+y平方-2xy-10x+10y+16 (3)2x平方+3xy-2y平方-x+8y-6 急

分解因式: (2)x平方+y平方-2xy-10x+10y+16 (3)2x平方+3xy-2y平方-x+8y-6 急
原式= (x-y)²-10(x-y)+16
=(x-y-2)(x-y-8)
原式=(2x-y)(x+2y)-x+8y-6
2x-y 3
×
x+2y -2
x和y系数符合
所以原式=(2x-y+3)(x+2y-2)

x平方+y平方-2xy-10x+10y+16
=(x-y)平方-10(x-y)+16
=(x-y-2)(x-y-8)
2x平方+3xy-2y平方-x+8y-6
=(2x-y)(x+2y)+3(x+2y)-2(2x-y)-6
=(2x-y+3)(x+2y)-2(2x-y+3)
=(2x-y+3)(x+2y-2)