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6 tháng 12 2017

a) \(=\left(x-2y\right)\left(x^2+5x\right)\)

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

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

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

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

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

     \(=\left(x+3\right)\left(3-x+3\right)\)

     \(=\left(x+3\right)\left(6-x\right)\)

e) \(=\left(x^2-\frac{1}{3}x\right)\left(x^2+\frac{1}{3}x\right)\)

f) \(=2x\left(x-y\right)-16\left(x-y\right)\)

    \(=2\left(x-y\right)\left(x-8\right)\)

  

12 tháng 8 2015

a) x^4 - x^3 - x + 1 

= x^3 ( x - 1 ) - ( x- 1 )

= ( x^3 - 1 )(x - 1)

= ( x- 1 )^2 (x^2 + x +  1 )

 

12 tháng 8 2015

a)x4-x3-x+1

=x3(x-1)-(x-1)

=(x-1)(x3-1)

=(x-1)(x-1)(x2+x+1)

=(x-1)2(x2+x+1)

b)5x2-4x+20xy-8y

(sai đề)

 

30 tháng 10 2016

a> \(16-5x^2-3\)

\(=-5x^2+16x-3\)

\(=-5x^2+x+15x-3\)

\(=-x\left(5x-1\right)+3\left(5x-1\right)\)

\(=\left(5x-1\right)\left(3-x\right)\)

30 tháng 10 2016

b> \(x^2-4x-5\)

\(=x^2-5x+x-5\)

\(=\left(x^2+x\right)-\left(5x+5\right)\)

\(=x\left(x+1\right)-5\left(x+1\right)\)

\(=\left(x+1\right)\left(x-5\right)\)

31 tháng 10 2016

\(a,16x-5x^2-3\)

\(=-5x^2+15x+x-3\)

\(=-5x\left(x-3\right)+\left(x-3\right)\)

\(=\left(x-3\right)\left(-5x+1\right)\)

\(b,x^2-4x-5\)

\(=x^2+x-5x-5\)

\(=x\left(x+1\right)-5\left(x+1\right)\)

\(=\left(x+1\right)\left(x-5\right)\)

27 tháng 7 2018

x2 - 4x - 5

= x2 - x + 5x - 5

= x ( x - 1 ) + 5 ( x - 1 )

= ( x - 1 ) ( x + 5 )

12 tháng 10 2015

a,X^3-16x =x(x^2-16)

b,y(y-2)-3(y-2)=(y+3).(y-2)

c,x^2+4x+4-y^2=(x+2)^2-y^2=(x+y+2).(x+2-Y)

D,4^2y^3-12x^2y^4+16X^5y^3=4x^2y^2(y-3y^2+4X^3y)

16 tháng 7 2018

1)  \(x^6-x^4-9x^3+9x^2\)

\(=x^2\left(x^4-x^2-9x+9\right)\)

\(=x^2\left[x^2\left(x^2-1\right)-9\left(x-1\right)\right]\)

\(=x^2\left(x-1\right)\left[x^2\left(x+1\right)-9\right]\)

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

2)   \(x^4-4x^3+8x^2-16x+16\)

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

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

18 tháng 7 2018

3) \(x^4-25x^2+20x-4=x^4+5x^3-2x^2-5x^3-25x^2+10x+2x^2+10x-4\)

\(=x^2\left(x^2+5x-2\right)-5x\left(x^2+5x-2\right)+2\left(x^2+5x-2\right)\)

\(=\left(x^2+5x-2\right)\left(x^2-5x+2\right)\)

4) \(5x\left(x-2y\right)+2\left(2y-x\right)^2\)\(=5x\left(x-2y\right)+2\left(x-2y\right)^2=\left(x-2y\right)\left(5x+2x-4y\right)=\left(x-2y\right)\left(7x-4y\right)\)

5) \(x^2\left(x^2-6\right)-x^2+9=x^4-7x^2+9\)

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

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

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

6) \(7x\left(y-4\right)^2-\left(4-y\right)^3=7x\left(y-4\right)^2+\left(y-4\right)^3=\left(y-4\right)^2\left(7x+y-4\right)\)

7) \(x^3+2x^2-6x-27=x^3-3x^2+5x^2-15x+9x-27\)

\(=x^2\left(x-3\right)+5x\left(x-3\right)+9\left(x-3\right)=\left(x-3\right)\left(x^2+5x+9\right)\)

27 tháng 10 2017

a) \(=2xy^2\left(x^2+8x+15\right)\)

\(=2xy^2\left[\left(x^2+8x+16\right)-1\right]\)

\(=2xy^2\left[\left(x+4\right)^2-1\right]\)

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

\(=2xy^2\left(x+5\right)\left(x-3\right)\)

mấy câu sau tự làm nha :*

29 tháng 10 2017

b,=(x^2-10x+25)-4

  =(x-5)^2-2^2

  =(x-5-2)(x-5+2)

  =(x-7)(x-3)

16 tháng 7 2018

a)  \(x^3-x^2-5x+125\)

\(=\left(x+5\right)\left(x^2-5x+25\right)-x\left(x+5\right)\)

\(=\left(x+5\right)\left(x^2-6x+25\right)\)

b)  \(5x^2-5xy-3x+3y\)

\(=5x\left(x-y\right)-3\left(x-y\right)\)

\(=\left(x-y\right)\left(5x-3\right)\)

c)  \(x^2-2x-4y^2+1\)

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

\(=\left(x-2y-1\right)\left(x+2y-1\right)\)