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a, \(\left(3x-6y\right)x+y\left(x-2y\right)=\left(3x+y\right)\left(x-2y\right)\)
b, \(3\left(x-y\right)-5x\left(y-x\right)=\left(3+5x\right)\left(x-y\right)\)
c, \(\dfrac{2}{5}x\left(y-1\right)+\dfrac{2}{5}y\left(1-y\right)=\left(\dfrac{2}{5}x-\dfrac{2}{5}y\right)\left(y-1\right)=\dfrac{2}{5}\left(x-y\right)\left(y-1\right)\)
d, \(x\left(x-1\right)-y\left(1-x\right)=\left(x+y\right)\left(x-1\right)\)
b ) 5 x ( x - 1 ) - 3x ( x - 1 )
= ( 5x - 3x ) ( x - 1 )
= 2x ( x - 1 )
c ) x ( x + y ) - 5 x - 5y
= x ( x + y ) - 5 ( x + y )
= ( x - 5 ) (x + y )
d ) x ^ 2 + xy + x
= x ( x + y + 1 )
e ) x ( x - y ) + y ( y - x )
= x ( x - y ) - y ( x - y )
= ( x - y ) ( x -y )
= ( x - y ) 2
a, 5x(x-1)-3x(x-1)=(5x-3x)(x-1)=2x(x-1)
b, x(x+y)-5x-5y=x(x+y)-5(x+y)=(x-5)(x+y)
c, x2+xy+x=x(x+y+1)
d, x(x-y)+y(y-x)=x(x-y)-y(x-y)=(x-y)(x-y)=(x-y)2
b)5x(x-1)-3x(x-1)=x(x-1).(5-3)=x(x-1).2
c)x(x+y)-5x-5y=x(x+y)-(5x+5y)=x(x+y)-[5(x+y)[=(x+y).(x-5)
d)x^2+xy+x=x(x+y+1)
e)x(x-y)+y(y-x)=x(x-y)-(x-y).y=(x-y).(x-y)
a: =x^2(x^2+2x+1)
=x^2(x+1)^2
b: =x^3+3x^2y+3xy^2+y^3-x-y
=(x+y)^3-(x+y)
=(x+y)[(x+y)^2-1]
=(x+y)(x+y-1)(x+y+1)
c: =5(x^2-2xy+y^2-4z^2)
=5(x-y-2z)(x-y+2z)
\(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x-y\right)\left(x+y-5\right)\)
\(=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x+y-5\right)\left(x-y\right)\)