Question

化简：

x2-4x+4

x-1

÷(x-2)+

1

x-1

=

 

．

Answer 1

分析：先把分子分母分解因式约分化简，再加减．

解答：解：

x2-4x+4

x-1

÷(x-2)+

1

x-1

=

(x-2)2

x-1

•

1

x-2

+

1

x-1

=

x-2+1

x-1

=1．故答案为1．

点评：此题运算顺序：先除后加，用到了分解因式、约分、通分等知识点．