Đáp án:
\(\begin{array}{l}
a) - \dfrac{{\sqrt 3 }}{b}\\
c) - \dfrac{{2a + 3}}{b}\\
b)\dfrac{{3a - 9}}{4}\\
d) - \sqrt {ab}
\end{array}\)
Giải thích các bước giải:
\(\begin{array}{l}
a)ab.\dfrac{{\sqrt 3 }}{{\left| a \right|.{b^2}}} = - ab.\dfrac{{\sqrt 3 }}{{a{b^2}}}\\
= - \dfrac{{\sqrt 3 }}{b}\\
c)\sqrt {\dfrac{{{{\left( {3 + 2a} \right)}^2}}}{{{b^2}}}} = \dfrac{{\left| {2a + 3} \right|}}{{\left| b \right|}}\\
= - \dfrac{{2a + 3}}{b}\\
b)\dfrac{{3\sqrt 3 .\left| {a - 3} \right|}}{{4\sqrt 3 }} = \dfrac{{3\left( {a - 3} \right)}}{4} = \dfrac{{3a - 9}}{4}\\
d)\left( {a - b} \right).\dfrac{{\sqrt {ab} }}{{\left| {a - b} \right|}} = - \left( {a - b} \right).\dfrac{{\sqrt {ab} }}{{\left( {a - b} \right)}}\\
= - \sqrt {ab}
\end{array}\)