[15] Factorization

1. 2uv(9uv^2 -1-3v)
2.-4ab(2a^2 b+3ab-1)
3.2ax(1-10x^2 -2ax)
4.2kn(6k-4m-9m^2)
5.(p-2q)(r-1)
6.(n+25)(1-m)
7.(x-1)(5x-2)
8.(a-5)(x+y)
9.b(3X-1)(a+bc)
10.-mn(ax+b)(1+m)
11.(x-y)(-a+b-a+b)
12.(a+b)^2 (c-b)
13.(x-2)(x-2-a)

1. 18uv^2 w - 2uv - 6uv^2
=2uv(9vw-1-3v)
2. -8a^3 b^2 - 12a^2 b^2 + 4ab
=-4ab(2 a^2 b+ 3ab-1)
3. 2ax - 20ax^3 - 4a^2 x^2
=2ax(1-10x^2 - 2ax)
4. 12k^2 n - 8kmn - 18km^2 n
=2kn(6k-4m-9m^2)
5. r(p-2q) - (p-2q)
=(p-2q)(r-1)
6. (n+25) - m(n+25)
=(n+25)(1-m)
7. 5x(x-1) + 2(1-x)
=5x(x-1)-2(x-1)
=(x-1)(5x-2)
8. x(a-5) - y(5-a)
=x(a-5)+y(a-5)
=(a-5)(x+y)
9. ab(3x-1) - bc(1-3x)b
=ab(3x-1)+b^2c(3x-1)
=(3x-1)(ab+b^2c)
=b(3x-1)(a+bc)
10. -mn(ax+b) - m^2 n(ax+b)
=(ax+b)(-mn-m^2)
=-m(ax+b)(n+m)
11. (-a+b) (x-y) - (a+b) (x-y)
=(x-y)[(b-a)-(a+b)
=-(x-y)(2a)
12. c(a+b) ^2 - b(a+b) ^2
=(a+b)^2 (c-b)
13. (x-2) ^2 - a(x-2)
=(x-2)(x-2-a)

1. 2uv(9vw-1-3v)
2. 4ab(-2a^2b-3ab+1)
3. 2ax(1-10x^2-2ax)
4. 2kn(6k-4m-9m^2)
5. (p-2q)(r-1)
6. (n+25)(1-m)
7. (x-1)(5x-2)
8. (a-5)(x+y)
9. b(3x-1)(a+bc)
10. -mn(ax+b)(1+m)
11. -2a(x-y)
12. (a+b)^2(c-d)
13.(x-2)(x-2-a)

2007-12-31 13:04:39 補充：
no.11 (-a b)(x-y)-(a b)(x-y)=(x-y)(-a b-a-b)=(x-y)(-2a)=-2a(x-y)

2007-12-31 13:05:35 補充：
no.11 (-a b)(x-y)-(a b)(x-y)=(x-y)(-a b-a-b)=(x-y)(-2a)=-2a(x-y)