Bài 1. (1,5 điểm) Cho biểu thức \( P=\left(\frac{1}{x \sqrt{x}-1}-\frac{\sqrt{x}+1}{x-1}\right) \cdot \frac{x+\sqrt{x}+1}{\sqrt{x}+1}(x \geq 0 ; x \neq 1) \) a. Chửng minh \( P=\frac{\sqrt{x}}{1-\sqrt{x}} \) với \( x \geq 0 ; x \neq 1 \). b. Tîm tất cả các giá trị của \( x \) đề \( P>-1 \). Bài 2. \( \left(0,75\right. \) điểm) 1. Giải phương trình \( \quad \frac{-x^{2}+12 x+4}{x^{2}+3 x-4}=\frac{12}{x+4}+\frac{12}{3 x-3} \)

Find \( (a+b) \div(a-b) \) (i) \( a=\frac{1}{2}, b=\frac{2}{3} \)

Math Prep 2 Notebook 2025.pdf File | C:/Users/pc/Desktop/الكا/Math\%20Prep\%202\%20Notebook\%202025.pdf Translate pexels Online Video, Logo... Google Drive - EFB WebPortal مصر الوهمية WhatsApp ر Draw (I) aあ Ask Copilot 65 of 138 Supervision of Mathematics Answer the following questions : 1 Choose the correct answer : (1) The S.S. of \( (x+2)^{3}=125 \) in \( \mathbb{E} \) is (a) \( \{3\} \) (b) \( \{5\} \) (c) \( \{7\} \) (d) \( \varnothing \) 2 If the order of the median of a set of values is the fourth, then the number of the values is \( \qquad \) (a) 3 (b) 5 (c) 7 (d) 9 3) If A is \( (2,7) \) and B is \( (5,-2) \), then the slope of \( \overleftrightarrow{\mathrm{AB}}= \) \( \qquad \) (a) -2 (b) 2 (c) -3 (d) 3 (4) If \( 5 x=35 \), then \( 2 x+1= \) \( \qquad \) (a) 7 (b) 15 (c) 8 (d) 71 (5) The multiplicative inverse of \( \frac{\sqrt{3}}{6} \) is \( \qquad \) (a) \( -\frac{\sqrt{3}}{6} \) (b) \( 6 \sqrt{3} \) (c) \( 2 \sqrt{3} \) (d) \( -2 \sqrt{3} \) 66

4. \( \left[(15: 5)^{4}\right]^{3}:\left[\left(2^{2} \times 5 \times 3\right): 12-2^{5}: 2^{4}\right]^{10}-1^{3} \)

\( 2 x^{2}=-x+5( \) Are the roots real or Unreal)

what is the rule of below inverse founction? \( f(x)=\sqrt{x+2 \sqrt{x-1}} \)