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

1、原式=(x-y)^2-5(x-y)-6=(x-y-6)(x-y+1)
2、原式=(x^3+1)-(x^2+x)=(x+1)(x^2-x+1)-x(x+1)=(x+1)(x-1)^2
3、原式=1-(x^2-4xy+4y^2)=1-(x-2y)^2=(1+x-2y)(1-x+2y)
4、原式=a^2-(b^2-2bc+c^2)=a^2-(b-c)^2=(a+b-c)(a-b+c)
5、原式=(a-b+b-c)^2=(a-c)^2=(-1.4)^2=1.96

1：(x-y)^2-5(x+y)-6=(x-y-2)(x-y-3)
2：x^2(x-1)-(x-1)=(x^2-1)(x-1)=(x-1)^2(x+1)
3：1-(x-2y)^2=（1-x+2y)(1+x-2y)
4：a^2-(b-c)^2=(a-b+c)(a+b-c)
5：原式=(a-b+b-c)²==(-1.4)²
=1.96

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

1:x²-6xy+5y²=(x-y)(x-5y)
2:m²-5m-6=(m+1)(m-6)
3: m²-m-6=(m+2)(m-3)
4:3x²+13x-10=(x+5)(3x-2)
5:6m²+m-12=(2m+3)(3m-4)
6:x²-2xy+y²-5x+5y-6
=(x-y)²-5(x-y)-6
=(x-y+1)(x-y-6)
7:x³-x²-x+1
=x²(x-1)-(x-1)
=(x-1)(x²-1)
=(x-1)(x+1)(x-1)
=(x-1)²(x+1)
8:1-x²+4xy-4y²
=1-(x-y)²
=(1+x-y)(1-x+y)
9:a²-b²-c²+2bc
=a²-(b-c)²
=(a+b-c)(a-b+c)
10:(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
=1.96

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