X3+125y3\ 1-27y3 0.001x3-8y3 x3y9+343

1) $x^{3}+125y^{3}=(x)^{3}+(5y)^{3}=(x+5)(x^{2}-5x+25)$

===========================================================

2) $1-27y^{3}=(1)^{3}-(3y)^{3}=(1-3y)(1+3y+9y^{2})$

===========================================================

3) $0,001x^{3}-8y^{3}=(0,1x)^{3}-(2y)^{3}=(0,1x-2y)(0,01x^{2}+0,2xy+4y^{2})$

===========================================================

4) $x^{3}y^{9}+343=(xy^{3})^{3}+(7)^{3}=(xy^{3}+7)(x^{2}y^{6}-7xy^{3}+49)$