冀教版七年级下册数学课本115页习题答案:
A组
1.(1)10a-5c=5(2a-c).
(2)ab-2abc=ab(1-2c).
(3)5xy-xyz=xy(5-z).
(4)a²+ab-ac=a(a+b-c).
2.(1)2x²y-4xy²z=2xy(x-2yz).
(2)7a²b+14ab²c=7ab(a+2bc)
(3)15mn²p²-5mnp=5mnp(3np-1).
(4)4ab-6a²=2a(2b-3a).
3.(1)4a²b²-ab²=ab²(4a-1).
(2)-12a²bc+4a²b²+2ab²c=-2ab(6ac-2ab-cb).
(3)-4x²y²+8x²y-8xy=-4xy(xy-2x+2).
(4)x(x+y)(x-y)-x(x-y)²=2xy(x-y).
(5)(a-b)(m+n).
(6)m(m-n)(2n-m).
B组
4.(1)4046000.(2)20230.
C组
5.37.
6.a²+a=a(a+1).当a是偶数时,a+1是奇数,则a(a+1)是偶数,一定能被2整除.当a是奇数时,a+1是偶数,则a(a+1)是偶数,一定能被2整除.所以a²+a一定能被2整除.