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Đặt A=3|x-5|-|3x+2|

TH1: \(x<-\frac23\)

=>3x+2<0; x-5<0

=>\(A=3\left(5-x\right)-\left(-3x-2\right)\)

=15-3x+3x+2

=17

TH2: \(-\frac23\le x<5\)

=>3x+2>=0; x-5<0

=>\(A=3\left(5-x\right)-\left(3x+2\right)\)

=15-3x-3x-2

=-6x+13

TH3: x>=5

=>3x+2>0; x-5>=0

=>A=3(x-5)-(3x+2)

=3x-15-3x-2

=-17

10 tháng 9

phá ngoặc ra nhân 3 nhân (5+2)=21 nhé

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}-\frac{-2}{9}-\frac{7}{5}\right)-\frac{5x}{2}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}+\frac{2}{9}-\frac{7}{5}\right)-\frac{5x}{2}.\frac{x-4}{5}\)

\(M=\frac{-2x}{3}+3x\left(\frac{15x+20-126}{90}\right)-\frac{5x^2-20x}{10}\)

\(M=\frac{-2x}{3}+3x.\frac{15x-106}{90}-\frac{5.\left(x^2-4x\right)}{10}\)

\(M=\frac{-2x}{3}+\frac{45x^2-318x}{90}-\frac{x^2-4x}{2}\)

12 tháng 6 2018

\(a,\left(3x+5\right)^2+\left(3x-5\right)^2-\left(3x+2\right)\left(3x-2\right)=9x^2+30x+25+9x^2-30x+25-9x^2+4=9x^2+54\)
\(b,BT=2x\left(4x^2-4x+1\right)-3x\left(x^2-9\right)-4x\left(x^2+2x+1\right)=8x^3-8x^2+2x-3x^3+27x-4x^3-8x^2-4x=x^3-16x^2+25x\)
\(c,BT=\left(x+y-z\right)^2-2\left(x+y-z\right)\left(x+y\right)+\left(x+y\right)^2=\left(x+y-z-x-y\right)^2=z^2\)

4 tháng 8 2019

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}-\frac{-2}{9}-\frac{7}{5}\right)-\frac{5x}{2}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=\frac{-2x}{3}+3x\left[\frac{x}{6}-\left(-\frac{2}{9}\right)-\frac{7}{5}\right]-\frac{5x}{4}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=\frac{-2x}{3}+3x\left(\frac{x}{6}+\frac{2}{9}-\frac{7}{5}\right)-\frac{5x}{2}\left(\frac{x}{5}-\frac{4}{5}\right)\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{5x}{2}.\frac{x-4}{5}\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{5x\left(x-4\right)}{10}\)

\(M=-\frac{2x}{3}+3x\left(\frac{x}{6}-\frac{53}{45}\right)-\frac{x\left(x-4\right)}{2}\)

\(M=-\frac{2x}{3}+\frac{x^2}{2}-\frac{53x}{15}-\frac{x\left(x-4\right)}{2}\)

\(M=\left(-\frac{2x}{3}-\frac{53x}{15}\right)+\frac{x^2}{2}-\frac{x\left(x-4\right)}{2}\)

\(M=-\frac{21x}{5}+\frac{x^2}{2}-\frac{x\left(x-4\right)}{2}\)

\(M=\frac{-2.21x+5x^2-5x\left(x-4\right)}{10}\)

\(M=\frac{-42x+5x^2-5x\left(x-4\right)}{10}\)

\(M=\frac{-x\left[42-5x+5\left(x-4\right)\right]}{10}\)

\(M=\frac{-x\left(42-5x+5x-20\right)}{10}\)

\(M=\frac{-x\left(42-20\right)}{10}\)

\(M=\frac{-x.22}{10}\)

\(M=-\frac{22x}{10}\)

\(M=-\frac{11x}{5}\)

18 tháng 9 2016

-(x+2/5)+(-(4/3-x))

=-26/15

=-1.7(3)

(x+0.5)+(x-0,2)-(-0,3) với đk x/0,3

(x+x)-(0,5-0,2+0,3)

2x-0,6=0

x=0,3

vậy ko đúng với đk

Sửa đề: \(E=\left|x+0,5\right|+\left|x-0,2\right|-\left|x-0,3\right|\)

TH1: x<-0,5

=>x+0,5<0; x-0,2<0; x-0,3<0

=>E=-x-0,5-x+0,2-(-x+0,3)

=-2x-0,3+x-0,3

=-x-0,6

TH2: -0,5<=x<0,2

=>x+0,5>=0; x-0,2<0; x-0,3<0

=>E=x+0,5+0,2-x-(0,3-x)

=0,7-0,3+x

=x+0,4

TH3: 0,2<=x<0,3

=>x+0,5>0; x-0,2>=0; x-0,3<0

=>E=x+0,5+x-0,2-(0,3-x)

=2x+0,3-0,3+x

=3x

10 tháng 9

Ta xét các trường hợp:

Trường hợp 1: \(x < \frac{1}{4}\)

  • Khi đó \(x - 3 < 0 \Rightarrow \mid x - 3 \mid = 3 - x\).
  • Đồng thời \(4 x - 1 < 0 \Rightarrow \mid 4 x - 1 \mid = 1 - 4 x\).

Suy ra:

\(A = 2 \left(\right. 3 - x \left.\right) - \left(\right. 1 - 4 x \left.\right) = 5 + 2 x .\)


Trường hợp 2: \(\frac{1}{4} \leq x < 3\)

  • Khi đó \(x - 3 < 0 \Rightarrow \mid x - 3 \mid = 3 - x\).
  • Đồng thời \(4 x - 1 \geq 0 \Rightarrow \mid 4 x - 1 \mid = 4 x - 1\).

Suy ra:

\(A = 2 \left(\right. 3 - x \left.\right) - \left(\right. 4 x - 1 \left.\right) = 7 - 6 x .\)


Trường hợp 3: \(x \geq 3\)

  • Khi đó \(x - 3 \geq 0 \Rightarrow \mid x - 3 \mid = x - 3\).
  • Đồng thời \(4 x - 1 \geq 0 \Rightarrow \mid 4 x - 1 \mid = 4 x - 1\).

Suy ra:

\(A = 2 \left(\right. x - 3 \left.\right) - \left(\right. 4 x - 1 \left.\right) = - 2 x - 5.\)


Kết luận:

\(A = \left{\right. 5 + 2 x & \text{n} \overset{ˊ}{\hat{\text{e}}} \text{u}\&\text{nbsp}; x < \frac{1}{4} , \\ 7 - 6 x & \text{n} \overset{ˊ}{\hat{\text{e}}} \text{u}\&\text{nbsp}; \frac{1}{4} \leq x < 3 , \\ - 2 x - 5 & \text{n} \overset{ˊ}{\hat{\text{e}}} \text{u}\&\text{nbsp}; x \geq 3.\)

2(x-3)-(4x-1)
= 2x-6 -(4x-1)
= 2x-6-4x+1
=-2x-5