Question

Tổng/Hiệu hai đẳng thức: 
1) x^3 + 8 = ?
2) a^3 + 27 = ?
3) y^3 + 125 = ?
4) x^3 - 8 = ?
5) x^3 - 1 = ?
6) x^3 - 27 = ?
7) m^3 - 8 = ?
8) 8a^3 - 27 = ?
9) 27x^3 - 1 = ? 
10) 8m^3 + 1 = ?
11) x^3 + 1/8 = ?
12) m^3 + 27n^3 = ?

Answer 1

`1)x^3+8=x^3+2^3=(x+2)(x^2-2x+4)`

`2)a^3+27=a^3+3^3=(a+3)(a^2-3a+9)`

`3)y^3+125=y^3+5^3=(y+5)(y^2-5y+25)`

`4)x^3-8=x^3-2^3=(x-2)(x^2+2x+4)`

`5)x^3-1=x^3-1^3=(x-1)(x^2+x+1)`

`6)x^3-27=x^3-3^3=(x-3)(x^2+3x+9)`

`7)m^3-8=m^3-2^3=(m-2)(m^2+2m+4)`

`8)8a^3-27=(2a)^3-3^3=(2a-3)(4a^2+6a+9)`

`9)27x^3-1=(3x)^3-1^3=(3x-1)(9x^2+3x+1)`

`10)8m^3+1=(2m)^3+1^3=(2m+1)(4m^2-2m+1)`

`11)x^3+1/8=x^3+(1/2)^3=(x+1/2)(x^2-1/2x+1/4)`

`12)m^3+27n^3=m^3+(3n)^3=(m+3n)(m^2-3mn+9n^2)`