\(x^3-64=x^3-4^3=\left(x-4\right)\left(x^2+4x+16\right)\\ 27x^3+1=\left(3x\right)^3+1^3=\left(3x+1\right)\left(9x^2-3x+1\right)\\ 64m^3-27=\left(4x\right)^3-3^3=\left(4x-3\right)\left(16x^2+12x+9\right)\)
`x^3 -64`
`=x^3 -4^3`
`=(x-4)(x^2 +4.x+4^2)`
`=(x-4)(x^2 +4x+16)`
`27x^3 +1`
`=(3x)^3 +1`
`=(3x+1)[(3x)^2 +3x.1+1^2]`
`=(3x+1)(9x^2 -3x+1)`
`64m^3 -27`
`=(4m)^3 -3^3`
`=(4m-3)[(4m)^2 -4m.3+3^2]`
`=(4m-3)(16m^2 +12m+9)`
`a, = (x-4)(x^2 + 4x + 16)`
`b, = (3x+1)(9x^2 - 3x + 1)`
`c, = (4m-3)(16m^2 + 12m + 9)`.
\(x^3-64=x^3-4^3=\left(x-4\right)\left(x^2+4x+16\right)\)
\(27x^3+1=\left(3x\right)^3+1^3=\left(3x+1\right)\left(9x^2-3x+1\right)\)
\(64m^3-27=\left(4m\right)^3-3^3=\left(4m-3\right)\left(16m^2+12m+9\right)\)