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

b: =x^2-6xy+9y^2=(x-3y)^2

c: =5x(x^2-2xy+y^2)

=5x(x-y)^2

d: =(x-3)^2

e: =(2y-z)(4x+7y)

a)HĐT:(x^2+1-x)(x^2+1+x)

b)=x^2-2.x.3y+(3y)^2

c)=5x(x^2-2xy+y^2)

=5x(x-y)^2

d)x^2-2.3.x+3^2

=(x-3)^2

e)(2y-z)+7y(2y-z)

=(2y-z)(1+7y)

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

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

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

2,\(=\left(x^2+2xy+y^2\right)-\left(z^2-2zt+t^2\right)\)

     \(=\left(x+y\right)^2-\left(z-t\right)^2\)

     \(=\left(x+y+z-t\right)\left(x+y-z+t\right)\)

3,\(=9x\left(x-y\right)-7\left(x-y\right)\)

    \(=\left(x-y\right)\left(9x-7\right)\)

4\(=3\left(x-y\right)+a\left(x-y\right)\)

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

a. 7x - 7y 

= 7(x-y)

b. x² - 6xy + 9y²

= (x - 3y)²

a) 7(x-y)
b) (x-3y)²
c) xy(x+y)-(x+y)=(xy-1)(x+y)
d) x²-3x+2x-6=x(x-3)+2(x-3)=(x+2)(x-3)

c. x²y +xy² -x -y

=( x²y -x ) + (xy² - y)

= x( xy -1 ) + y (xy -1)

= (xy -1) (x+y)

d. x² - x - 6

= x² - 3x + 2x -6

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

=(x-3) ( x+2)

a)

\(10x^2+10xy+5x+5y\)

\(=10x\left(x+y\right)+5\left(x+y\right)\)

\(=5\left(x+y\right)\left(2x+1\right)\)

b)

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

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

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

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

c)

\(x+2a\left(x-y\right)-y\)

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

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

d)

\(x^2-y^2+7x-7y\)

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

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

\(a,x^2+7x+7y-y^2\)

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

\(=\left(x-y\right)\left(x+y\right)+7\left(x+y\right)\)

\(=\left(x+y\right)\left(x-y+7\right)\)

\(b,x^2-2x-9y^2+6y\)

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

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

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

\(c,x^2-xy+x^3-3x^{2y}+3x^{2y}-y^3\)

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

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

`#040911`

`a)`

`196 - a^2 + 2ab - b^2`

`= 196 - (a^2 - 2ab + b^2)`

`= 196 - (a - b)^2`

`= 14^2 - (a - b)^2`

`= (14 - a + b)(14 + a - b)`

`b)`

`a^2 + 6a - 4b^2 + 9`

`= (a^2 + 6a + 9) - 4b^2`

`= [ (a)^2 + 2*a*3 + 3^2] - (2b)^2`

`= (a + 3)^2 - (2b)^2`

`= (a + 3 - 2b)(a + 3 + 2b)`

`c)`

`4x - 4 + 9y^2 - x^2`

`=  9y^2 - (x^2 - 4x + 4)`

`= (3y)^2 - [ (x)^2 - 2*x*2 + 2^2]`

`= (3y)^2 - (x - 2)^2`

`= (3y - x + 2)(3y + x - 2)`

`d)`

`5x^2 - 10x + 5 - 45t^2`

`= 5*(x^2 - 2x + 1 - 9t^2)`

`= 5*[ (x^2 - 2x + 1) - 9t^2]`

`= 5*{ [(x)^2 - 2*x*1 + 1^2] - (3t)^2}`

`= 5*[ (x - 1)^2 - (3t)^2]`

`= 5*(x - 1 - 3t)(x - 1 + 3t)`

`e)`

`x^2 - 36y^2t^2 - 10x +25`

`= (x^2 - 10x + 25) - 36y^2t^2`

`= [ (x)^2 - 2*x*5 + 5^2] - (6yt)^2`

`= (x - 5)^2 - (6yt)^2`

`= (x - 5 - 6yt)(x - 5 + 6yt)`

a: =196-(a^2-2ab+b^2)

=196-(a-b)^2

=(14-a+b)(14+a-b)

b: \(=\left(a^2+6a+9\right)-4b^2\)

\(=\left(a+3\right)^2-4b^2\)

\(=\left(a+3-2b\right)\left(a+3+2b\right)\)

c: \(=9y^2-\left(x^2-4x+4\right)\)

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

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

d: \(=5\left(x^2-2x+1-9t^2\right)\)

\(=5\left[\left(x-1\right)^2-\left(3t\right)^2\right]\)

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

e: \(=x^2-10x+25-36y^2t^2\)

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

\(=\left(x-5-6yt\right)\left(x-5+6yt\right)\)

\(x^2+2xy+7x+7y+y^{2+10}\)

\(\text{phân tích đa thức thành nhân tử}\)

\(y^{12}+2xy+7y+x^2+7x\)

tách \(^{x^2}\)ra rồi làm thừa số chung, toán SGK đem ra hỏi làm j

vậy không hỏi thì đào tích đúng đâu ra -_-

câu hỏi ngu người vl