Đáp án:
Giải thích các bước giải:
a) = X + 3 / ( X - 2 ) × ( X + 2 ) × ( 2 - X^3 )/ 9 ( X + 3 )
= 1 / ( X - 2 ) × ( X + 2 ) × (-( X - 2 ))^3 / 9
= 1 / ( X - 2 ) × ( X + 2 ) × -(X - 2 ) ^3 / 9
= 1 / X + 2 × - ( X - 2 ) ^2 / 9
= - ( X - 2 ) ^2 / 9 ( X + 2 )
= - X^2 - 4X + 4 / 9X + 18
b) = X - 2 / X + 1 × X × ( X + 1 ) - 3 ( X + 1 ) / X × ( X - 2 ) - 3 ( X - 2 )
= X - 2 / X + 1 × ( X + 1 ) × ( X - 3 ) / ( C - 2 ) × ( X - 3 )
= 1
c) = X^2 - 2X - 3X + 6 / X^2 + 4X + 3X + 12 × X^2 + 3X / X^2 -4X + 4
= ( X- 2 ) × ( X - 3 ) / ( X + 4 ) × ( X + 3 ) × X × ( X + 3 ) / ( X - 2 )^2
= X - 3 / X + 4 × X / X - 2
= X × ( X - 3 ) / ( X + 4 ) × ( X - 2 )
= X^2 - 3X / X^2 - 2X + 4X - 8
= X^2 - 3X / X^2 + 2X - 8