a: =(16x+20)^2-(10x+10)^2

=(16x+20-10x-10)(16x+20+10x+10)

=(26x+30)(6x+10)

=4(13x+15)(3x+5)

b: =(x-y+4-2x-3y+1)(x-y+4+2x+3y-1)

=(-x-4y+5)(3x+2y+3)

c: =[(x+1)^2-(x-1)^2][(x+1)^2+(x-1)^2]

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

=2(x^2+1)*4x

=8x(x^2+1)

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

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

=\(3x^2\)-9x-4x+6

=\(3x^2\)+(-9x-4x)+6

=\(3x^2\)-13x+6

5) (2x+1)(x+3)=2x(x+3)+1(x+3)

=2x.x+2x.3+1.x+1.3

=\(2x^2\)+6x+1x+3

=\(2x^2\)+(6x+1x)+3

=\(2x^2\)+7x+3

6) (x-3)(3x-1)=x(3x-1)-3(3x-1)

=x.3x+x.(-1)-3.3x-3.(-1)

=\(3x^2\)-1x-9x+3

=\(3x^2\)+(-1x-9x)+3

=\(3x^2\)-10x+3

rút gọn biểu thức

A) \(x^2\)-(x+4)(x-1)=\(x^2\)- x(x-1)-4(x-1)

=\(x^2\)-x.x-x.(-1)-4.x-4.(-1)

=\(x^2\)-\(x^2\)+1x-4x+4

=(\(x^2-x^2\))+(1x-4x)+4

= -3x+4

B) x(x+2)-(x-2)(x+4)=x.x+x.2-x(x+4)+2(x+4)

=\(x^2+2x\)-x.x-x.4+2.x+2.4

=\(x^2+2x-x^2-4x+2x+8\)

=(\(x^2-x^2\))+(2x-4x+2x)+8

=8

tính giá trị biểu thức

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

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

=3x-6-2.x-2.(-3)-x.x-x(-3)

=3x-6-2x+6-\(x^2\)+3x

=(3x-2x+3x)+(-6+6)\(-x^2\)

=4x - \(x^2\)

thay x=-8 vào biểu thức thu gọn ta được:

4.(-8)- (-8)\(^2\)

= - 32 +64

= 32

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

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

=3x -\(x^2\)-1.1-1 .(-x)-x.1-x.(-x)

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

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

=3x-1

thay x=-5 vào biểu thức thu gọn ta được:

3.(-5)-1

=-15-1

=-16

Thu gọn biểu thức

4) (3x - 2) (x - 3) 

= ( 3x² - 2x ) - ( 3x x 3 - 2 x 3 )

= 3x² - 2x - 3x x 3 + 2 x 3

= 3x² - 2x - 9x + 6

= 3x² - 11x + 6 

5) (2x + 1) (x + 3) 

= ( 2x² + 1x ) + ( 6x + 3 )

= 2x² + 1x + 6x + 3

= 2x² + 7x + 3

6) (x - 3) (3x - 1) 

= ( 3x² - 9x ) - ( x - 3 )

= 3x² - 9x - x + 3

= 3x² - 10 + 3

Rút gọn biểu thức

A) x^2 - (x + 4) (x - 1)

= x² - ( x² + 4x ) - ( x + 4 )

= x² - x² - 4x - x - 4

= -5x - 4

B) x (x + 2) - (x - 2) (x + 4)

= x² + 2x - ( x² - 2x ) + ( 4x - 8 )

= x² + 2x - x² + 2x + 4x - 8

= 8x - 8

Tính giá trị biểu thức

A = 3 (x - 2) - (2 + x) (x - 3) tại x = - 8

Thế x = -8 vào, ta có :

= 3 ( -8 -2 ) - ( 2 + -8 ) ( -8 - 3 )

= 3 x ( -10 ) - ( - 6 ) ( -11 )

= -30 - 66

= -96

B = x (3 - x) - (1 + x) ( 1 - x) tại x = - 5

Thế x = - 5 vào, ta có :

= -5 ( 3 - -5 ) - ( 1+ -5 ) ( 1 - -5 )

= -5 x 8 - (-4) x 6

= - 40 - -24

= -40 + 24

= -16

100% đúng 

hok tốt nha 

`a, 3/4 - 5/4 :(x-1) =1/2`

`=> 5/4:(x-1)= 3/4 -1/2`

`=> 5/4:(x-1)= 3/4 - 2/4`

`=> 5/4:(x-1)= 1/4`

`=> x-1= 5/4 : 1/4`

`=> x-1=5`

`=>x=5+1`

`=>x=6`

__

`(1/2-x)^2 -2^2 =12`

`=> (1/2-x)^2 = 12+4`

`=> (1/2-x)^2= 16`

`=> (1/2-x)^2 =4^2`

\(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{2}-x=4\\\dfrac{1}{2}-x=-4\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{7}{2}\\x=\dfrac{9}{2}\end{matrix}\right.\)

__

`(1/2)^(2x-1) =1/16`

`=> (1/2)^(2x-1) = (1/2)^4`

`=> 2x-1=4`

`=> 2x=4+1`

`=>2x=5`

`=>x=5/2`

\(a,\dfrac{3}{4}-\dfrac{5}{4}:\left(x-1\right)=\dfrac{1}{2}\)

\(\dfrac{5}{4}:\left(x-1\right)=\dfrac{3}{4}-\dfrac{1}{2}\)

\(\dfrac{5}{4}:\left(x-1\right)=\dfrac{1}{4}\)

\(x-1=\dfrac{5}{4}:\dfrac{1}{4}\)

\(x-1=5\)

\(x=6\)

\(\left(\dfrac{1}{2}-x\right)^2-2^2=12\)

\(\left(\dfrac{1}{2}-x\right)^2-4=12\)

\(\left(\dfrac{1}{2}-x\right)^2=16\)

\(\left(\dfrac{1}{2}-x\right)^2=4^2hoặc\left(\dfrac{1}{2}-x\right)^2=\left(-4\right)^2\)

\(\dfrac{1}{2}-x=4hoặc\dfrac{1}{2}-x=-4\)

=>1/2 -x =4      1/2 -x= -4

=> x=1/2-4              x=1/2-(-4)

=>x=-7/2                 x=9/2

vậy x∈{-7/2 ; 9/2}

\(\left(\dfrac{1}{2}\right)^{2x-1}=\dfrac{1}{16}\)

\(=>\left(\dfrac{1}{2}\right)^{2x-1}=\left(\dfrac{1}{2}\right)^4\)

\(=>2x-1=4\)

\(=>2x=5\)

\(=>x=\dfrac{5}{2}\)

1) 3/9 + 5/9 = 8/9

2) 1/2 x 2/3 x 3/4 x 4/5

= 1/5

(1-1/2)×(1-1/3)×(1-1/4)×(1-1/5)×1-1/6=1/2×2/3×3/4×4/5×5/6=1/6

Bài làm

a) 2( x + 1 ) - 4x  = 6

=> 2x + 2 - 4x     = 6

=> ( 2x - 4x ) + 2 = 6

=>       -2x     + 2 = 6

=>       -2x            = 4

=>          x             = -2

Vậy x = -2

b) 3( 2 - x ) + 4( 5 - x )     = 4

=> 6 - 3x + 20 - 4x           = 4

=> ( 6 +20 ) + ( -3x - 4x ) = 4

=>       26     -       7x        = 4

=>                         7x       = 22

=>                           x       = 22/7

Vậy x = 22/7

c) Cũng phân tích như hai câu trên rồi rút gọn ra, sử dụng tính chất phân phối đó, do là phân số nên mik k muốn làm.

d) ( x + 1 )( x - 3 ) = 0

=> \(\hept{\begin{cases}x+1=0\Rightarrow x=-1\\x-3=0\Rightarrow x=3\end{cases}}\)

Vậy x = -1; x = 3

# Học tốt #

Tìm x biết : 

a) \(2\left(x+1\right)-4x=6\)

\(\Rightarrow2x+2-4x=6\)

\(\Rightarrow2x-4x=6-2\)

\(\Rightarrow-2x=4\)

\(\Rightarrow x=-2\)

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

\(\Rightarrow6-3x+20-4x=4\)

\(\Rightarrow-3x-4x=4-6-20\)

\(\Rightarrow-7x=22\)

\(\Rightarrow x=-\frac{22}{7}\)

c) \(\frac{7}{3}.\left(x-\frac{4}{3}\right)+\frac{2}{5}.\left(4-\frac{1}{3}x\right)=0\)

\(\Rightarrow\frac{7}{3}x-\frac{28}{9}+\frac{8}{5}-\frac{2}{15}x=0\)

\(\Rightarrow\left(\frac{7}{3}x-\frac{2}{15}x\right)-\left(\frac{28}{9}-\frac{8}{5}\right)=0\)

\(\Rightarrow\frac{33}{15}x-\frac{68}{45}=0\)

\(\Rightarrow\frac{33}{15}.x=\frac{68}{45}\)

\(\Rightarrow x=\frac{68}{45}:\frac{33}{15}\)

\(\Rightarrow x=\frac{68}{99}\)

d) \(\left(x+1\right)\left(x-3\right)=0\)

\(\Rightarrow\orbr{\begin{cases}x+1=0\\x-3=0\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}\)

\(\Leftrightarrow\frac{1}{x^2+7x+12}+\frac{1}{x^2+5x+6}+\frac{1}{x^2+3x+2}-\frac{1}{10}=0\)

\(\Rightarrow-\frac{x^2+5x-26}{10\left(x+1\right)\left(x+4\right)}=0\)

\(\Rightarrow x^2+5x-26=0\)

\(\Rightarrow5^2-\left(-4\left(1.26\right)\right)=129\)(cái này là D)

\(\Rightarrow x_{1,2}=\frac{-b+-\sqrt{D}}{2a}=\frac{-5+-\sqrt{129}}{2}\)

\(x=+-\frac{\sqrt{129}}{2}-2\frac{1}{2}\)

phần a 1/ (x+1)(+2)  phải là 1/ (x+1)(x+2) ms đúng chứ nhỉ

đầu bài phần b như thế này phải ko \(\frac{x^2-2}{x^2+6}-\frac{3}{x^2+1}=\frac{5}{x^2+3}+\frac{7}{x^2+5}\)
 

9/15+4/15= 13/15

2/1-7/12= 24/12-7/12= 17/12

10/21

5/6:5/1= 5/6x1/5= 5/30= 1/6

B1:

a,\(\left(3x-2\right)\left(x-3\right)=3x^2-9x-2x+6=3x^2-11x+6\)

b,\(\left(2x+1\right)\left(x+3\right)=2x^2+6x+x+3=2x^2+7x+3\)

c,\(\left(x-3\right)\left(3x-1\right)=3x^2-x-9x+3=3x^2-10x+3\)

B2:

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

2)\(x\left(x+2\right)-\left(x-2\right)\left(x+4\right)=x^2+2x-\left(x^2+4x-2x-8\right)\)

\(=x^2+2x-x^2-4x+2x+8=8\)