Bài 1:
1) (x+2y)^3
=x^3+3.x^2.2y+3.x.(2y)^2+(2y)^3
=x^3+6x^2y+12xy^2+8y^3
2) (2x-1)^3
=(2x)^3-3.(2x)^2.1+3.2x.1^2-1^3
=8x^3-12x+6x-1
3) (2x-1/2)^3
=(2x)^3-3.(2x)^2.1/2+3.2x.(1/2)^2-(1/2)^3
=8x^3-6x^2+3/2.x-1/8
4) (1-3x)^3
=1^3-3.1^2.3x+3.1.(3x)^2-(3x)^3
=1-9x+27x^2-27x^3
5) (3x-2y)^3
=(3x)^3-3.(3x)^2.2y+3.3x.(2y)^2-(2y)^3
=27x^3-54x^2y+36xy^2-8y^3
6) (x+1/3)^2
=x^2+2/3x+1/9
Bài 2:
1) x^3+3x^2+3x+1
=(x+1)^3
2) 27y^3-9y^2+y-1/27
=(3y-1/3)^3
4) 8x^6+12x^4y+6x^2y^2+y^3
=(2x^2)^3+3.(2x^2)^2.y+3.2x^2.y^2+y^3
=(2x^2+y^3)^3