Question

計算：

2

a2+2a+1

-

2

a+1

Answer 1

分析：先將原式通分，再根據同分母分式加減運算法則求解即可．

解答：解：

2

a2+2a+1

-

2

a+1

=

2

(a+1)2

-

2

a+1

=

2

(a+1)2

-

2(a+1)

(a+1)2

=

2-2(a+1)

(a+1)2

=

2-2a-2

(a+1)2

=-

2a

a2+2a+1

．

點評：本題考查了異分母分式加減運算，先通分，把異分母分式化為同分母分式，然后再相加減．