5x^2 + 5xy - x - y 

=5x.(x+y)-(x+y)

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

7x - 6x^2 - 2

=-6x²+3x+4x-2

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

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

Phân tích thành đa nhân tử 

đc kết quả :

(2x+1)(3x+1)

:)

Ta có

a,    x²-x-y²-y

=x²-y²-(x+y)

=(x-y)(x+y) - (x+y)

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

b,   x²-2xy+y²-z²

=(x-y)²-z²

=(x-y-z)(x-y+z)

con bai 32, 33 neu ban tra loi duoc minh h them

nhanh nha

x^3 - x + 3x^2y + 3xy^2 + y^3 - y

=x³+y³+3x²y+3xy²-x-y

=(x+y)(x²-xy+y²)+3xy(x+y)-(x+y)

=(x+y)(x²-xy+y²+3xy-1)

=(x+y)(x²+2xy+y²-1)

=(x+y)[(x+y)²-1]

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

x^2 + 5x - 6

=x²-x+6x-6

=x.(x-1)+6.(x-1)

=(x-1)(x+6)

đề có sai ko bn?

\(6x^3+x^2+x+1=\left(6x^3+3x^2\right)+\left(-2x^2-x\right)+\left(2x+1\right)\)

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

K sai dau
giao an truong Tran dai nghia do

a) 7xy^2+5x^2y

= xy(7y+5x)

b) x^2+2xy+y^2-11x-11y

= (x^2+2xy+y^2)-(11x+11y)

=(x+y)^2-11(x+y)

=(x+y)(x+y-11)

a) 7xy² + 5x²y

= xy ( 7y + 5x )

b) x² + 2xy + y² - 11x - 11y

= ( x² + 2xy + y² ) - ( 11x + 11y )

= ( x + y )² - 11 ( x + y )

= ( x + y )( x + y - 11 )

\(x^4-6x^3+54x-81\)

\(=x^4+3x^3-9x^3+27x^2-27x^2 +81x-27x-81\)

\(=\left(x^4+3x^3\right)-\left(9x^3+27x^2\right)+\left(27x^2+81x\right)-\left(27+81\right)\)

\(=x^3\left(x+3\right)-9x^2\left(x+3\right)+27x\left(x+3\right)-27\left(x+3\right)\)

\(=\left(x+3\right)\left(x^3-9x^2+27x-27\right)\)

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