Rút gọn biểu thức: A = \(\frac{\sqrt{x}-2}{\sqrt{x}-1}:\left(\frac{3x+\sqrt{9x}-3}{x+\sqrt{x}-2}-\frac{\sqrt{x}+1}{\sqrt{x}+2}+\frac{\sqrt{x}-2}{1-\sqrt{x}}\right)\)Đk: \(x\ge0;x\ne1\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(5x^3+14x^2+12x+8\right):\left(x+2\right).\)
\(=\left(5x^3+10x^2+4x^2+8x+4x+8\right):\left(x+2\right)\)
\(=\left[5x^2\left(x+2\right)+4x\left(x+2\right)+4\left(x+2\right)\right]:\left(x+2\right)\)
\(=\left(x+2\right).\left(5x^2+4x+4\right):\left(x+2\right)\)
\(=5x^2+4x+4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
( 8x – 1 ) ( 3x + 2) + ( 6x + 1 )( 3 – 4x) = 28
<=> 24x + 16x - 3x -2 + 18x - 24x + 3 - 4x =28
<=> 24x -24x +16x - 3x + 18x - 4x = 2 - 3 + 28
<=> 27x = 27
<=> x=27/27
<=> x=1
Vậy x=1
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
x3+2x2y+xy2−9xx3+2x2y+xy2−9x
=x(x2+2xy+y2−9)=x(x2+2xy+y2−9)
=x[(x+y)2−32]=x(x+y+3)(x+y−3)=x[(x+y)2−32]=x(x+y+3)(x+y−3)
b) 2x−2y−x2+2xy−y22x−2y−x2+2xy−y2
=2(x−y)−(x−y)2=(x−y)(2−x+y)=2(x−y)−(x−y)2=(x−y)(2−x+y)
c) x2−2x−4y2−4yx2−2x−4y2−4y
=(x2−4y2)−(2x+4y)=(x2−4y2)−(2x+4y)
=(x−2y)(x+2y)−2(x+2y)=(x−2y)(x+2y)−2(x+2y)
=(x+2y)(x−2y−2)