Question

計(jì)算：(

a+1

2a-2

-

3

2a2-2

-

a+3

2a+2

)×

4a2-4

3

．

Answer 1

分析：原式括號(hào)中三項(xiàng)通分并利用同分母分式的減法法則計(jì)算，約分即可得到結(jié)果．

解答：解：原式=[

(a+1)2

2(a+1)(a-1)

-

3

2(a+1)(a-1)

-

(a+3)(a-1)

2(a+1)(a-1)

]•

4(a+1)(a-1)

3

=

1

2(a+1)(a-1)

•

4(a+1)(a-1)

3

=

2

3

．

點(diǎn)評(píng)：此題考查了分式的混合運(yùn)算，分式的加減運(yùn)算關(guān)鍵是通分，通分的關(guān)鍵是找最簡(jiǎn)公分母；分式的乘除運(yùn)算關(guān)鍵是約分，約分的關(guān)鍵是找公因式．