Question

giải chi tiết giúp e với ạ <3

Answer 1

a) Ta có: \(\left(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}+\sqrt{a}\right)\left(\dfrac{1-\sqrt{a}}{1-a}\right)^2\)

\(=\left(a+2\sqrt{a}+1\right)\cdot\left(\dfrac{1}{\sqrt{a}+1}\right)^2\)

\(=1\)

b) Ta có: \(\dfrac{a+b}{b^2}\cdot\sqrt{\dfrac{a^2b^4}{a^2+2ab+b^2}}\)

\(=\dfrac{a+b}{b^2}\cdot\dfrac{\left|a\right|\cdot b^2}{a+b}\)

=|a|