
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


\(8-12x+6x^2-x^3\)
\(=\left(2-x\right)^3\)
\(125x^3-75x^2+15x-1\)
\(=\left(5x-1\right)^3\)
\(x^2-xz-9y^2+3yz\)
\(=\left(x-3y\right)\left(x+3y\right)-z\left(x-3y\right)\)
\(=\left(x-3y\right)\left(x+3y-z\right)\)
\(x^3-x^2-5x+125\)
\(=\left(x+5\right)\left(x^2-5x+25\right)-x\left(x+5\right)\)
\(=\left(x+5\right)\left(x^2-5x+25-x\right)\)
\(=\left(x+5\right)\left(x^2-6x+25\right)\)
\(x^3+2x^2-6x-27\)
\(=x^3+5x^2+9x-3x^2-15x-27\)
\(=x\left(x^2+5x+9\right)-3\left(x^2+5x+9\right)\)
\(=\left(x-3\right)\left(x^2+5x+9\right)\)
\(12x^3+4x^2-27x-9\)
\(=4x^2\left(3x+1\right)-9\left(3x+1\right)\)
\(=\left(3x+1\right)\left(4x^2-9\right)\)
\(=\left(3x+1\right)\left(2x-3\right)\left(2x+3\right)\)
\(4x^4+4x^3-x^2-x\)
\(=4x^3\left(x+1\right)-x\left(x+1\right)\)
\(=x\left(x+1\right)\left(4x^2-1\right)\)
\(=x\left(x+1\right)\left(2x-1\right)\left(2x+1\right)\)

c: 2|x-3|=500
=>|x-3|=250
=>x-3=250 hoặc x-3=-250
=>x=253 hoặc x=-247
d: x-17=-8+(-17)
=>x-17=-25
hay x=-8

\(\frac{11}{4}:\frac{3}{2}:\left|4x-\frac{1}{3}\right|=\frac{7}{2}\)
\(\Leftrightarrow\frac{3}{2}:\left|4x-\frac{1}{3}\right|=\frac{11}{4}:\frac{7}{2}\)
\(\Leftrightarrow\frac{3}{2}:\left|4x-\frac{1}{3}\right|=\frac{11}{14}\)
\(\Leftrightarrow\left|4x-\frac{1}{3}\right|=\frac{3}{2}:\frac{11}{14}\)
\(\Leftrightarrow\left|4x-\frac{1}{3}\right|=\frac{21}{11}\)
\(\Leftrightarrow\orbr{\begin{cases}4x-\frac{1}{3}=\frac{21}{11}\\4x-\frac{1}{3}=-\frac{21}{11}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{37}{66}\\x=-\frac{13}{33}\end{cases}}\)
Bài dưới tương tự

Có: (4x + 19) - (2x + 5) = 3a - 3b
=> 3a - 3b = 2x + 14
(2x + 14) - (2x + 5) = 3a - 3b - 3b
=> 9 = 3a - 2.3b = 3b.(3a-b - 2)
=> 9 chia hết cho 3b; 9 chia hết cho 3a-b - 2
Mà 3a-b - 2 chia 3 dư 1 và 3a-b - 2 > 0 do a > b; a;b thuộc N
=> 3b = 9 = 32; 3a-b - 2 = 1
=> b=2; 3a-b = 3
=> b=2; a-b=1
=> b=2;a=3
Thay vào đề bài ta có:
4x + 19 = 33 = 27
=> 4x = 27 - 19 = 8
=> x = 8 : 4 = 2
Vậy x = 2; a = 3; b = 2

a) \(\left|x+1\right|+2x=-2\)
\(\Leftrightarrow\left|x+1\right|+2\left(x+1\right)=0\)
\(\Leftrightarrow x+1=0\Leftrightarrow x=-1\)
b) \(x^2-6x+9=1\)
\(\Leftrightarrow x^2-6x+8=0\)
\(\Leftrightarrow x^2-2x-4x+8=0\)
\(\Leftrightarrow x\left(x-2\right)-4\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-4\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x-2=0\\x-4=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=2\\x=4\end{array}\right.\)

\(\frac{3}{2x+1}\)+ \(\frac{10}{4x+2}\) - \(\frac{6}{6x+3}\) = \(\frac{12}{26}\)
\(\dfrac{3}{2x+1}\) + \(\dfrac{2.5}{2\left(2x+1\right)}\) - \(\dfrac{2.3}{3\left(2x+1\right)}\) = \(\dfrac{6}{13}\)
\(\dfrac{3}{2x+1}\) + \(\dfrac{5}{2x+1}\) - \(\dfrac{2}{2x+1}\) = \(\dfrac{6}{13}\)
\(\dfrac{3}{2x+1}\) + \(\dfrac{5}{2x+1}\) + \(\dfrac{-2}{2x+1}\) = \(\dfrac{6}{13}\)
\(\dfrac{6}{2x+1}\) = \(\dfrac{6}{13}\)
Ta có: \(\dfrac{3}{2x+1}+\dfrac{10}{4x+2}-\dfrac{6}{6x+3}\)= \(\dfrac{3}{2x+1}+\dfrac{5}{2x+1}-\dfrac{2}{2x+1}\)
= \(\dfrac{3+5-2}{2x+1}=\dfrac{6}{2x+1}=\dfrac{12}{26}\) \(\Rightarrow156=24x+12\Rightarrow24x=144\Rightarrow x=6\)
Vậy x=6.
Học tốt nha

c: 2|x-3|=500
=>|x-3|=250
=>x-3=250 hoặc x-3=-250
=>x=253 hoặc x=-247
d: x-17=-8+(-17)
=>x-17=-25
hay x=-8

c: 2|x-3|=500
=>|x-3|=250
=>x-3=250 hoặc x-3=-250
=>x=253 hoặc x=-247
d: x-17=-8+(-17)
=>x-17=-25
hay x=-8
Ta có: \(8x-\left|4x+1\right|=x+2\)
\(\Rightarrow\left|4x+1\right|=8x-\left(x+2\right)\)
\(\Rightarrow\left|4x+1\right|=7x-2\)
\(\Rightarrow\) \(\left[\begin{array}{nghiempt}4x+1=7x-2\\4x+1=2-7x\end{array}\right.\) \(\Rightarrow\) \(\left[\begin{array}{nghiempt}3x=3\\11x=1\end{array}\right.\) \(\Rightarrow\) \(\left[\begin{array}{nghiempt}x=1\\x=\frac{1}{11}\end{array}\right.\)