Phân tích đa thức thành nhân tử:
a,3x^2-6xy+3y^2
b,12x^5+24x^4y^2+12x^3y^3
c,x^3+x^2y-x^2z-xyz
d,12xy-12xz+3x^2y-3x^2z
Phân tích đa thức thành nhân tử: a,3x^2-6xy+3y^2 b,12x^5+24x^4y^2+12x^3y^3 c,x^3+x^2y-x^2z-xyz d,12xy-12xz+3x^2y-3x^2z
By Delilah
Đáp án:
`a,3x^2-6xy+3y^2`
`=3(x²-2xy+y²)`
`=3(x+y)²`
`b,12x^5+24x^4y^2+12x^3y^3`
Bổ sung đề :
`b) 12x^5y + 24 x^4y^2 + 12x^3y^3`
`=12x³y(x²+2xy+y²)`
`=12x³y(x+y)²`
`c,x^3+x^2y-x^2z-xyz`
`=x²(x+y)-xz(x+y)`
`=x(x+y)(x-z)`
`d,12x^5y + 24 x^4y^2 + 12x^3y^3`
`= 12x^3y.(x^2 + 2xy + y^2)`
`= 12x^3y.(x + y)^2`
@Star
a, 3x^2-6xy+3y^2
=3(x^2 -2xy+y^2)
= 3(x-y)^2
b, 12x^5+24x^4y^2+12x^3y^3
= 13x^3 y(x^2+2xy+y^2)
= 12x^3 y (x+y)^2
c, x^3+x^2y-x^2z-xyz
=x^2(x+y) – xz(x+y)
=x(x+y)(x-z)
d,,12xy-12xz+3x^2y-3x^2z
-3x(x+4)(z-y)