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1 ) 3yx - 6xy2
= 3xy ( 1 - 2y )
2 ) 5ab2 - 20a3b2
= 5ab2 ( 1 - 4a2 )
= 5ab2 ( 1 - 2a ) ( 1 + 2a )
3 ) 3x - 3b - y ( b - x )
= 3 ( x - b ) + y ( x - b )
= ( x - b ) ( 3 + y )
1)3xy-6xy2=3xy(1-2y)
2)5ab2-20a3b2=5ab2(1-4a2)=5ab2[12-(2a)2]=5ab2(1+2a)(1-2a)
3)3x-3b-y(b-x)=3x-3b-by+xy=(3x+xy)-(3b+by)=3x(1+y)-3b(1+y)=3(1+y)(x-b)

x2 + xy + 5x + 5y = ( x2 + xy ) + ( 5x + 5y ) = x( x + y ) + 5( x + y ) = ( x + y )( x + 5 )
x2 - y2 + 3x - 3y = ( x2 - y2 ) + ( 3x - 3y ) = ( x - y )( x + y ) + 3( x - y ) = ( x - y )( x + y + 3 )
x² + xy + 5x + 5y
= (x²+ xy) + ( 5x+5y)
= x(x+y) + 5(x+y)
= (x+y)(x+5)
x² - y² + 3x - 3y
= (x² - y²) + ( 3x -3y)
= (x-y)(x+y) + 3(x-y)
= (x-y)(x+y+3)
chúc bạn học tốt ^^

Bạn viết rõ hơn nhé :
\(\frac{x^4-xy^3}{2xy+y^2}:\frac{x^3+x^2y+xy^2}{2x+y}\)
= \(\frac{x^4-xy^3}{2xy+y^2}.\frac{2x+y}{x^3+x^2y+xy^2}\)
= \(\frac{x.\left(x-y\right).\left(x^2+xy+y^2\right).\left(2x+y\right)}{y.\left(2x+y\right).x.\left(x^2+xy+y^2\right)}\)
= \(\frac{x-y}{y}\)
Chúc bạn học tốt !!!

a)<=>
A,=(x+y)(x-y)=x^2-y^2
x=(-1/2)^5:(1/2)^4=-1/2
x^2=1/4
y=8^2/(-2)^5=-2
y^2=4
A=1/4-4=-15/4

a, \(2x\left(x+2\right)-\left(x+2\right)\left(x-2\right)=\left(x+2\right)^2=x^2+4x+4\)
b, \(\left(x-3\right)\left(x^2+3x+9\right)-\left(x^2-27x\right)=x^3-27-x^2+27x\)
c, \(\left(x+y\right)\left(x^2-xy+y^2\right)-\left(x-y\right)\left(x^2+xy+y^2\right)=x^3+y^3-x^3+y^3=2y^3\)

7(x - 3) - x(3 - x)
= (x - 3)(7 + x)
chỉ bt có v mà k bt có đúng k
1 ) 7 ( x - 3 ) - x ( 3 - x )
= 7 ( x - 3 ) + x ( x - 3 )
= ( x - 3 ) ( 7 + x )
2 ) 4x2 - 6x + 3 - 2x
= 4x2 - 2x - 6x + 3
= 2x ( 2x - 1 ) - 3 ( 2x - 1 )
= ( 2x - 1 ) ( 2x - 3 )
3 ) ( 4 - x ) - 4x + x2
= ( 4 - x ) - x ( 4 - x )
= ( 4 - x ) ( 1 - x )
4 ) x2 - 2xy + y2
= ( x - y )2
\(\left(x^2+xy^2\right)^2=\left(x^2\right)^2+2\cdot x^2\cdot xy^2+\left(xy^2\right)^2\)
\(=x^4+2x^3y^2+x^2y^4\)
Khai triển à :v
( x2y + xy2 )2 = ( x2y )2 + 2.x2y.xy2 + ( xy2 )2 = x4y2 + 2x3y3 + x2y4