a, (x-3)\(^3\) + 3-x

= (x-3)\(^3\) - (x-3)

= (x-3)*[(x-3)\(^2\) -1]

= (x-3)* ( x\(^2\) - 6x + 9 -1)

= (x-3)*(x\(^2\) - 6x +8)

= (x-3)*[(x\(^2\) -2x) - (4x - 8)]

= (x-3)*[x(x-2) - 4(x-2)]

= (x-3)*(x-2)*(x-4)

b, 3\(^3\)(2y-3z) - 15x(2y-3z)\(^2\)

= (2y-3z) *[3\(^3\) -15x(2y-3z)]

= (2y - 3z)*(27 -30xy +45xz)

= (2y -3z)*3*(9 -10xy +15xz)

= 3*(2y-3z)*(9-10xy+15xz)

c, đề sai

d, 18x\(^2\)(3+x) + 3(x+3)

= 18x\(^2\)(x+3) +3(x+3)

= (x+3)(18x\(^2\) +3)

= (x+3)*3*[(3x)\(^2\) +1)]

= 3(x+3)*[(3x)\(^2\) +1)]

2x2-6x3

2x2y2-10x3y+4xy2

a/2x2-6x3

b/2x2y2-10x3y+4xy2

giải

a/2x2-6x3

=2x2(1-3x)

b/2x2y2-10x3y+4xy2

=2xy(xy-5x2+2y)

tham khảo nhé

PTĐT thành nhân tử :

a)a^2(x-y)+b^2(x-y)

b)c(a-b)+b(b-a)

c)a(a-b)^2-(b-a)^3

\(a^2\left(x-y\right)+b^2\left(x-y\right)=\left(a^2+b^2\right)\left(x-y\right)\)

\(c\left(a-b\right)+b\left(b-a\right)=\left(c-b\right)\left(a-b\right)\)

\(a\left(a-b\right)^2-\left(b-a\right)^3=a\left(a-b\right)^2+\left(a-b\right)^3=\left(a-b\right)^2\left(a+a-b\right)=\left(a-b\right)^2\left(2a-b\right)\)