已知a=12,b=13,则3a2−ab3a2+5ab−2b2=______.

问题描述:

已知a=

1
2
,b=
1
3
,则
3a2−ab
3a2+5ab−2b2
=______.

a=

1
2
,b=
1
3

3a2−ab
3a2+5ab−2b2
=
(
1
2
)
2
1
2
×
1
3
(
1
2
)
2
+5×
1
2
×
1
3
−2×(
1
3
)
2
=
3
7

故答案为:
3
7

答案解析:代入已知数值直接求解即可.
考试点:根式与分数指数幂的互化及其化简运算.
知识点:本题考查根式与分数指数幂的互化及其化简运算,基本知识的考查.