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\left(x-10y\right)\left(x^{2}+10xy+100y^{2}\right)
Rewrite x^{3}-1000y^{3} as x^{3}-\left(10y\right)^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right).