Rút gọn biểu thức sau:

\(\dfrac{1-a\sqrt{a}}{1-\sqrt{a}}\) với a lớn hơn hoặc bằng 0 ; a khác 1.

Helppp! Cần gấp

Rewrite each sentence, beginning as given, so that it contains an expression with have
1 I really enjoyed my holiday last year.
= I.............................................
2, david crashed his car while he was driving to Spain.
=David..................................
3, When we left, Maria wished us a safe journey.
= ^ goodbye ^, said Maria, and .................
4 Most of the people on the beach were wearing very little.
= Most of the people on the beach .....................
5.We could not decide about our holiday but then Sue thought of something.
= We could not decide about our holiday until Sue.................................
6 There was a party at Martin house last night.
= Martin......................
7.Brenda could not go away for the weekend beacause she was very busy.
= Brenda could not go away for the weekend beacause she was .......................
8. LAn did not how to water-ski, but she gave it a try.
= LAn did not how to water-ski but she......................
9. LAura suspected that the hotel food was going to be bad.
= LAura

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

b) \(\dfrac{x-1}{\sqrt{y}-1}\)\(\sqrt{\dfrac{y-2\sqrt{y+1}}{\left(x-1\right)^4}}\)

= \(\dfrac{x-1}{\sqrt{y}-1}\) \(\sqrt{\dfrac{\left(y-1\right)^4}{\left(x-1\right)^4}}\)

= \(\dfrac{x-1}{\sqrt{y}-1}\)\(\dfrac{\left(\sqrt{y}-1\right)^4}{\left(x-1\right)^2}\)

= \(\dfrac{\sqrt{y-1}}{x-1}\)

Chúc bạn học tốt :3

cho △ABC , AB=3cm, AC=4cm, AD là tia phân giác của góc BAC (D thuộc BC). Đường thẳng qa D vuông góc với BC cắt AC tại E. Chứng minh rằng

a, △ABC ∼ △DEC

Cho x + y = 4 và x² + y² = 10. Tính giá trị của biểu thức x⁶ + y⁶.