`a)2x(3x-1)+y(3x-1)=(3x-1)(2x+y)`
`b)3(x-y)-5x(x-y)=(x-y)(3-5x)`
`c)2(x+y)-2y(x+y)=2(x+y)(1-y)`
`d)y(x+1)-(x+1)(2y-1)`
`=(x+1)(y-2y+1)`
`=(x+1)(1-y)`
`e)4x^2(x-y)-(y-x)`
`=(x-y)(4x^2+1)`
`f)(x-y)^2-(y-x)(x-3y)`
`=(x-y)(x-y+x-3y)`
`=(x-y)(2x-4y)=2(x-y)(x-2y)`
`g)(x-y)^2-(y-x)(x-3y)`
`=(x-y)(x-y+x-3y)`
`=(x-y)(2x-4y)=2(x-y)(x-2y)`
a) `2x(3x-1)+y(3x-1)`
`=(3x-1)(2x+y)`
b) `3(x-y)-5x(x-y)`
`=(x-y)(3-5x)`
c) `2(x+y)-2y(x+y)`
`=(x+y)(2-2y)`
`=2(x+y)(1-y)`
d) `y(x+1)-(1+x)(2y-1)`
`=(x+1)[y-(2y-1)]`
`=(x+1)(y-2y+1)`
`=(x+1)(1-y)`
e) `4x^2(x-y)-(y-x)`
`=4x^2(x-y)+(x-y)`
`=(x-y)(4x^2+1)`
f) `(x-y)^2-(y-x)(x-3y)`
`=(x-y)^2+(x-y)(x-3y)`
`=(x-y)(x-y+x-3y)`
`=(x-y)(2x-4y)`
`=2(x-y)(x-2y)`
g) Trùng ý f)
#$\mathtt{Toru}$
a: \(2x\left(3x-1\right)+y\left(3x-1\right)=\left(3x-1\right)\left(2x+y\right)\)
b: \(3\left(x-y\right)-5x\left(x-y\right)=\left(x-y\right)\left(3-5x\right)\)
c: \(2\left(x+y\right)-2y\left(x+y\right)\)
\(=\left(x+y\right)\left(2-2y\right)\)
\(=2\left(1-y\right)\left(x+y\right)\)
d: \(y\left(x+1\right)-\left(1+x\right)\left(2y-1\right)\)
\(=\left(x+1\right)\left(y-2y+1\right)\)
=(x+1)(-y+1)
e: \(4x^2\left(x-y\right)-\left(y-x\right)\)
\(=4x^2\left(x-y\right)+\left(x-y\right)\)
=\(\left(x-y\right)\left(4x^2+1\right)\)
f: \(\left(x-y\right)^2-\left(y-x\right)\left(x-3y\right)\)
\(=\left(x-y\right)^2+\left(x-y\right)\left(x-3y\right)\)
=(x-y)*(x-y+x-3y)
=(x-y)(2x-4y)
=2(x-y)(x-2y)
g: \(\left(x-y\right)^2-\left(y-x\right)\left(x-3y\right)\)
\(=\left(y-x\right)^2-\left(y-x\right)\left(x-3y\right)\)
=(y-x)(y-x-x+3y)
=(y-x)(-2x+4y)
=-2(x-2y)(y-x)
