Question

Giải chi tiết giúp e ạ(bài cuối)

Answer 1

Điều kiện:`a>=0,a ne 1` $\\$ `E=(1+(a-sqrta)/(sqrta-1))(1-(a+sqrta)/(1+sqrta))`

`=(1+(sqrta(sqrta-1))/(sqrta-1))(1-(sqrta(sqrta+1))/(sqrta+1))`

`=(1+sqrta)(1-sqrta)`

`=1-a`

Answer 2

 

\(E=\left(1+\dfrac{a-\sqrt{a}}{\sqrt{a}-1}\right)\left(1-\dfrac{a+\sqrt{a}}{1+\sqrt{a}}\right)\)

ĐK: a ≥ 0; a khác 1

\(=\left[1+\dfrac{\sqrt{a}\left(\sqrt{a}-1\right)}{\sqrt{a}-1}\right]\left[1-\dfrac{\sqrt{a}\left(\sqrt{a}+1\right)}{\sqrt{a}+1}\right]\)

\(=\left(1+\sqrt{a}\right)\left(1-\sqrt{a}\right)=1-a\)