问题
解答题
把多项式a(x2-2x)2-2ax(2-x)+a分解因式.
答案
a(x2-2x)2-2ax(2-x)+a
=a[(x2-2x)2-2x(2-x)+1]
=a[(x2-2x)2+2(x2-2x)+1]
=a(x2-2x+1)2
=a(x-1)4.
把多项式a(x2-2x)2-2ax(2-x)+a分解因式.
a(x2-2x)2-2ax(2-x)+a
=a[(x2-2x)2-2x(2-x)+1]
=a[(x2-2x)2+2(x2-2x)+1]
=a(x2-2x+1)2
=a(x-1)4.