1) x³+8=x³+2³=(x+2)(x²-2x+4)

2) 27+a³=3³+a³=(3+a)(9-a+a²)

3) 1+m^6=1³+(m²)³=(1+m²)(1-m²+m^4)

4) p^9+64=(p³)³+4³=(p³+4)(p^6-4p³+16)

5) x^6+8y³=(x²)³+(2y)³=(x²+2y)(x^4-2x²y+4y²)

6) a^9+27b³=(a³)³+(3b)³=(a³+3b)(a^6-3a³b+9b²)

7) 8m^6+n^9=(2m²)³+(n³)³=(2m²+n³)(4m^4-2m²n³+n^9)

8) 64p^9+q^12=(4p³)³+(q^4)³=(4p³+q^4)(16p^6-8p³q^4+q^8)

9) 1/8+x^6y^9=(1/2)³+(x²y³)³=(1/2+x²y³)(1/4-1/2x²y³+x^4y^6)