Đáp án + giải thích các bước giải:
a) `(x^3+8=x^3+2^3=(x+2)(x^4-2x+4)`
b) `9x^6-12x^7+4x^8=9x^6-6x^7-6x^7+4x^8=3x^6(3-2x)-2x^7(3-2x)=(3x^6-2x^7)(3-2x)=x^6(3-2x)^2 `
c) `8x^3+27y^3=(2x)^3+(3y)^3=(2x+3y)(4x^2-12xy+9y^2)`
d) `(a+b)^3-c^3=(a+b-c)[(a+b)^2-c(a+b)+c^2]`
e) `x^3-(y-1)^3=(x-y+1)[x^2+x(y-1)+(y-1)^2]`
f) `(x-5)^3-27=(x-5)^3-3^3=(x-5-3)[(x-5)^2+3(x-5)+9]=(x-8)[(x-5)^2+3(x-5)+9]`
g) `x^6-1=(x^2)^3-1=(x^2-1)(x^4+x^2+1)`
h) `x^12-y^4=(x^6)^2-(y^2)^2=(x^6-y^2)(x^6+y^2)=(x^3-y)(x^3+y)(x^6+y^2)`
i) `x^3+3x^2+3x+1=(x+1)^3`
j) `x^3+12x^2+48x+64=x^3+3.4.x^2+3.4^2.x+4^3=(x+4)^3`