Đặt x²+10x+5=a.Ta có biểu thức là : a(a+8)+16=a²+8a+16=(a+4)²=(x²+10x+9)²

\(x^2-y^2+10x-6y+16\)

\(=\left(x^2+10x+25\right)-\left(y^2+6y+9\right)\)

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

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

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

    x^2 - 10x - 16 

= x^2 - 2.x.5 + 25 - 25 - 1 6

= ( x - 5)^2      - 41 

=(  x - 5 )^2  - \(\left(\sqrt{41}\right)^2\)

= ( x - 5 - căn 41 ) ( x - 5 + căn 41)

thang Tran làm thế hơi rảnh 

của mjk

x²-10x-16

=x²-2x-8x-16

=x(x-2)-8(x-2)

=(x-2)(x-8)

Ta có \(x^4+10x^3+32x^2+40x+16=\left(x^4+2x^3\right)+\left(8x^3+16x^2\right)+\left(16x^2+32x\right)+\left(8x+16\right)\)

\(=x^3\left(x+2\right)+8x^2\left(x+2\right)+16x\left(x+2\right)+8\left(x+2\right)\)

\(=\left(x+2\right)\left(x^3+8x^2+16x+8\right)=\left(x+2\right)\left(x+2\right)\left(x^2+6x+4\right)\)

\(=\left(x+2\right)^2\left(x^2+6x+4\right)\)

 x^2-y^2+10x-6y+16=(x^2-10x+25)-(y^2+6y+9)=(x-5)^2-(y+3)^2=(x-5-y-3)(x-5+y+3)=(x-y-8)(x+y-2)

  (x²-10x+25)-(y²+6y+9)=(x-5)²-(y+3)²=(x-y-8)(x+y-2)

\(x^2-10x+16\)

\(=\left(x^2-2x\right)-\left(8x-16\right)\)

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

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

Tham khảo nhé~

phân tích đa thức thành nhân tử

a, 6x^2 + 7xy + 2y^2

=6x^2+3xy+4xy+2y^2

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

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

b, 9x^2 - 9xy - 4y^2

=9x^2 +3xy-12xy-4y^2

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

=(3x+4y)(x+y)

c, x^2 - y^2 + 10x - 6y + 16=x^2-y^2+6x-6y+4x+16=x(x+6)-y(x+6)+4(x+6)=(x-y+4)(x+6)

Bài làm

a, 6x² + 7xy + 2y²

= 6x² + 3xy + 4xy + 2y² 

= ( 6x² + 3xy ) + ( 4xy + 2y² )

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

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

b, 9x² - 9xy - 4y² 

= 9x² - 12xy + 3xy - 4y² 

= ( 9x² - 12xy ) + ( 3xy - 4y² )

= 3x( 3x - 4y ) + y ( 3x - 4y )

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

c, x² - y² + 10x - 6y + 16

 = x² - y² - 6x + 6y + 4x + 16

= x( x + 6 ) - y( x + 6 ) + 4( x + 6 )

= ( x - y + 4 )( x + 6 )

# Học tốt #

(x^2-10x+20)^2

=x^4-10x^2+400

a) 8x²-2x-1=8x²+4x-2x-2x-1=(8x²+4x)-(2x+1)=4x.(2x+1)-(2x+1)=(2x+1).(4x-1)

b) x²-y²+10x-6y+16x=x²-y²+10x+10y-16y+16x=(x-y)(x+y)+10(x+y)-16(y+x)=(x+y)(x-y+10+16)

câu b chắc là 16x chứ