分解因式 x²-6xy+5y²； m²-5m-6； m²-m-6； 3x²+13x-10； 6m²+m-12.

x²-6xy+5y²；
=(x-5y)(x-y)
m²-5m-6；
=(m-6)(m+1)
m²-m-6；
=(m-3)(m+2)
3x²+13x-10；
=(3x-2)(x+5)
6m²+m-12
=(3m-4)(2m+3)
x²-2xy+y²-5x+5y-6；
=(x-y)²-5(x-y)-6
=(x-y-6)(x-y+1)
x³-x²-x+1；
=x²(x-1)-(x-1)
=(x²-1)(x-1)
=(x+1)(x-1)(x-1)
=(x+1)(x-1)²
1-x²+4xy-4y²；
=1-(x²-4xy+4y²)
=1-(x-2y)²
=[1-(x-2y)][1+(x-2y)]
=(1-x+2y)(1+x-2y)
a²-b²-c²+2bc
=a²-(b²+c²-2bc)
=a²-(b-c)²
=[a-(b-c)][a+(b-c)]
=(a-b+c)(a+b-c)
计算(a-b)²+2(a-b)(b-c)+(c-b)²的值,其中a-c=—1.4.
(a-b)²+2(a-b)(b-c)+(c-b)²
=(a-b)²+2(a-b)(b-c)+(b-c)²
=(a-b+b-c)²
=(a-c)²
=(-1.4)²
=1.96