数学．分解因式，～～～急～～

一、1.b(x-y)+c(y-x)=(x-y)( )
2.a(a+b)^2+(b+)^3中的公因式是( )
3.整式(a+b-c)（a-b+c)+(b-a-c)的公因式是（ )
4.把(a+b)^2-4(a^2-b^2)+4(a-b)^2分解因式为（ ）
A.(3a-b)^2 B.(3a+a)^2 C. (3b-a)^2 D.(3a+b)^2
4.分解因式
二、(1)2a(a-b)+4a(2a+3b)
(2)a(a+b)(a-b)-a(a+b)^2
(3)x(x-y)^3+y(y-x)^3
(4)x^4(x-y)+y^4(y-x)
(5)4-12(x-y)+9(x-y)^2
(6)4(a+b)^2-(a-b)^2
(7)-3xy-9y^2-1/4x^2
(8)-a^4+8a^2b^2-16b^4
(9)(x^2+y^2)^2-4x^2y^2

三、利用因式分解计算下列问题。
1)1.4^2*9-2.3^2*36
2)52^2+48^2+52*96

1 (b-c)
2,题错了
3，（a-b+c)
4.c

(1)2a(a-b)+4a(2a+3b)
=2a^2-2ab+8a^2+12ab
=10a(a-b)

(2)a(a+b)(a-b)-a(a+b)^2
=a(a+b)[(a-b)-(a+b)]
=-2ab(a+b)

(3)x(x-y)^3+y(y-x)^3
=(x-y)^3(x-y)
=(x-y)^4

(4)x^4(x-y)+y^4(y-x)
=(x-y)(x^4-y^4)
=(x-Y)(x^2+y^2)(x^2-y^2)
=(x-y)^2(x+y)(x^2+y^2)

(5)4-12(x-y)+9(x-y)^2
=[3(x-y)-2]^2

(6)4(a+b)^2-(a-b)^2
=[2(a+b)+a-b][2(a+b)-(a-b)]
=(3a+b)(a+3b)

(7)-3xy-9y^2-1/4x^2
=-(1/2x^2+3y)^2

(8)-a^4+8a^2b^2-16b^4
=-(a^2-4b^2)^2

(9)(x^2+y^2)^2-4x^2y^2
=x^4+2x^2y^2+y^4-4x^2y^2
=(x^2-y^2)^2

1)1.4^2*9-2.3^2*36
=9(1.4^2-2.3^2*4)
=9(1.4+2.3*2)(1.4-4.6)
=9*6*(-3.2)
=-172.8

2)52^2+48^2+52*96
=52^2+2*48*52+48^2
=(52+48)^2
=10000

1 b-c
2 a+b
3 b-c 或 c-b
4 (a+3b)^2
5 10a(a+b)
6 -2ab(a+b)
7 (x-y)^4