问题
选择题
把多项式a2-2ab+b2-1分解因式,结果是( )
A.(a-b+1)(a-b-1)
B.(a-b+1)(a+b-1)
C.(a+b+1)(a+b-1)
D.(a+b+1)(a-b-1)
答案
a2-2ab+b2-1,
=(a2-2ab+b2)-1,
=(a-b)2-1,
=(a-b+1)(a-b-1).
故选A.
把多项式a2-2ab+b2-1分解因式,结果是( )
A.(a-b+1)(a-b-1)
B.(a-b+1)(a+b-1)
C.(a+b+1)(a+b-1)
D.(a+b+1)(a-b-1)
a2-2ab+b2-1,
=(a2-2ab+b2)-1,
=(a-b)2-1,
=(a-b+1)(a-b-1).
故选A.