We are both students .我们俩都是学生一定正确,在此处both 是副词,表示两者都,副词一般放在情态动词和be 动词之后 .记住一个句子：we are all students.我们都是学生.
Both women were French=Both the women were French=Both of the women were French=The women were both French 这两个女人都是法国人.
We both find this car.我们俩都能找到车子.find 是动词,一般副词要么放在句首,要么放在句尾,还有就是放在动词前强调该动词
Both .and My Chinese and Math grades are both “A”一般不这样写,应该改为Both my Chinese and Math grades are "A".
both adj.两者的；两个的 adv.又；并；两者皆 pron.两者都；双方都 conj.既…且…
记住这一种情况是正确的就可以了,We both are我也说不准对不对,但是第二种一定对,你写句子的时候就用第二种就行了,不要钻牛角尖了,正确的形式知道一种对自己的写作有利就行了