Question

làm từng bước giúp mình;

Answer 1

a: A=|3x+3|+|3-2x|+x-1

=|3x+3|+|2x-3|+x-1

TH1: x<-1

=>A=-3x-3+3-2x+x-1

=(-3x-2x+x)+(-3+3-1)

=-4x-1

TH2: -1<=x<3/2

=>A=3x+3+(3-2x)+x-1

=4x+2+3-2x

=2x+5

TH3: x>=3/2

=>A=3x+3+2x-3+x-1

=6x-1

b: B=x-3-|2x+4|+|1-3x|

=x-3-|2x+4|+|3x-1|

TH1: \(x< -2\)

=>\(B=x-3-\left(-2x-4\right)+\left(1-3x\right)\)

=x-3+2x+4+1-3x

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

=1+1

=2

TH2: -2<=x<1/3

=>\(B=x-3-\left(2x+4\right)+\left(1-3x\right)\)

=x-3-2x-4+1-3x

=x-2x-3x-3-4+1

=-4x-6

TH3: x>=1/3

=>\(B=x-3-\left(2x+4\right)+\left(3x-1\right)\)

=x-3-2x-4+3x-1

=2x-8

c: C=|4-2x|+5x-3+|3x+2|

=|2x-4|+|3x+2|+5x-3

TH1: x<-2/3

=>\(C=4-2x-3x-2+5x-3\)

=4-2-3

=4-5

=-1

TH2: -2/3<=x<2

=>\(C=4-2x+3x+2+5x-3=6x+3\)

TH3: x>=2

=>C=2x-4+3x+2+5x-3

=10x+(-4+2-3)

=10x-5

d: D=|x+5|-4x+2-|2-3x|

=|x+5|-|3x-2|-4x+2

TH1: \(x< -5\)

=>\(D=-x-5-\left(2-3x\right)-4x+2\)

=-5x-3-2+3x

=-8x-5

TH2: -5<=x<2/3

=>\(D=x+5-\left(2-3x\right)-4x+2\)

=-3x+7-2+3x

=5

TH3: x>=2/3

=>\(D=x+5-\left(3x-2\right)-4x+2\)

=-3x+7-3x+2

=-6x+9