`1)(x-5)³-27`
`=(x-5)³-3³`
`=(x-5-3)[(x-5)²+3(x-5)+3²]`
`=(x-8)(x²-10x+25+3x-15+9)`
`=(x-8)(x²-7x+19)`
`2)m³-3m²+3m-1`
`=m³-3.m².1+3.m.1²-1³`
`=(m-1)³`
`3)`Sửa đề:`64-48+12m²-m³`
`→64-48m+12m²-m³`
`64-48m+12m²-m³`
`=4³-3.4².m+3.4.m²-m³`
`=(4-m)³`
`4)`Sửa đề:`27a³-54ab+36ab²`
`→27a³-54a²b+36ab²-8b³`
`27a³-54a²b+36ab²-8b³`
`=(3a)³-3.(3a)².2b+3.3a.(2b)²-(2b)³`
`=(3a-2b)³`
`5)x³+6x²+12x+8`
`=x³+3.x².2+3.x.2²+2³`
`=(x+2)³`