![](https://rs.olm.vn/images/avt/0.png?1311)
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)
B = \(\frac{8xy-6x^2}{3y\left(3x-4y\right)}=\frac{2x\left(4y-3x\right)}{-3y\left(4y-3x\right)}=-\frac{2x}{3y}\)
C = \(\frac{2x^3-18x}{x^4-81}=\frac{2x\left(x^2-9\right)}{\left(x^2-9\right)\left(x^2+9\right)}=\frac{2x}{x^2+9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Cho mình sửa,vừa nãy gõ thiếu chữ x:V
\(B=\dfrac{2x^2-18x}{x^4-81}=\dfrac{2\left(x^2-9x\right)}{x^4-81}=\dfrac{2\left(x-3\right)\left(x+3\right)}{\left(x^2-9\right)\left(x^2+9\right)}=\dfrac{2\left(x-3\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)\left(x^2+9\right)}=\dfrac{2}{x^2+9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
xin lỗi mình viết nhầm cho gửi lại câu hỏi!
CHO \(A=\left(\left(\frac{x+7}{x+9}+\frac{x+7}{x^2+81-18x}+\frac{x+5}{x^2-81}\right)\left(\frac{x-9}{x+3}\right)^2\right)^{ }:\left(\frac{x+7}{x+3}\right)\)
a) Rút gọn A
b) Tìm số nguyên x để A nguyên
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa đề: \(\dfrac{3}{x^2+6x+9}-\dfrac{3}{x^2-6x+9}+\dfrac{x^2+30x-27}{x^4-18x^2+81}\)
\(=\dfrac{3x^2-18x+27-3x^2-18x-27+x^2+30x-27}{\left(x+3\right)^2\cdot\left(x-3\right)^2}\)
\(=\dfrac{x^2-6x-27}{\left(x+3\right)^2\cdot\left(x-3\right)^2}=\dfrac{\left(x-9\right)\left(x+3\right)}{\left(x+3\right)^2\cdot\left(x-3\right)^2}\)
\(=\dfrac{\left(x-9\right)}{\left(x^2-9\right)\left(x-3\right)}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Akai Haruma Nguyễn Huy Tú Nguyễn Huy ThắngHồng Phúc NguyễnPhạm Hoàng Giang......và nhiều bạn nữa giúp mik vs
\(\dfrac{3}{x^2+6x+9}+\dfrac{2}{6x-x^2-9}+\dfrac{x^2+30x-27}{x^4-18x^2+81}\)
\(=\dfrac{3}{\left(x+3\right)^2}+\dfrac{-2}{\left(x-3\right)^2}+\dfrac{x^2+30x-27}{x^4-9x^2-9x^2+81}\)
\(=\dfrac{3}{\left(x+3\right)^2}-\dfrac{2}{\left(x-3\right)^2}+\dfrac{x^2+30x-27}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{3\left(x-3\right)^2}{\left(x+3\right)^2\left(x-3\right)^2}-\dfrac{2\left(x+3\right)^2}{\left(x+3\right)^2\left(x-3\right)^2}+\dfrac{x^2+30x-27}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{3x^2-18x+27-2x^2-12x-18+x^2+30x-27}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{2x^2-18}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{2\left(x^2-9\right)}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{2\left(x-3\right)\left(x+3\right)}{\left(x-3\right)^2\left(x+3\right)^2}\)
\(=\dfrac{2}{\left(x-3\right)\left(x+3\right)}=\dfrac{2}{x^2-9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1 : \(x^2+2x+1-y^2=\left(x+1\right)^2-y^2=\left(x+1-y\right)\left(x+1+y\right)\)
Bài 2 : \(10123^2-123^2=\left(10123-123\right)\left(10123+123\right)\)
\(=10000.10246=102460000\)
Bài 3 : \(x^2-18x=81\Leftrightarrow x^2-18x-81=0\)
\(\Leftrightarrow\left(x-9\right)^2-162=0\Leftrightarrow x=\frac{18\pm8\sqrt{2}}{2}=9\pm9\sqrt{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^2-18x-40\Leftrightarrow x^2+2x-20x-40\)
\(\Leftrightarrow x\left(x+2\right)-20\left(x+2\right)\Leftrightarrow\left(x-20\right)\left(x+2\right)\)
b) \(x^2+18-40\Leftrightarrow x^2-2x+20x-40\)
\(\Leftrightarrow x\left(x-2\right)+20\left(x-2\right)\Leftrightarrow\left(x+20\right)\left(x-2\right)\)
c) \(5x^2-18x-8\Leftrightarrow5x^2+2x-20x-8\)
\(\Leftrightarrow x\left(5x+2\right)-4\left(5x+2\right)\Leftrightarrow\left(x-4\right)\left(5x+2\right)\)