ПОМОГИТЕ!!!!!!! ПРОШУ!!!! (a⁻³ ₋ b⁻³):(a⁻²+a⁻¹×⁻¹+b⁻²)=................

[latex] \frac{a^{-3}-b^{-3}}{a^{-2}+a^{-2}*b^{-2}}}= \frac{ \frac{1}{a^3}- \frac{1}{b^3} }{ \frac{1}{a^2}+ \frac{1}{a^2b^2}}= \frac{ \frac{b^3-a^3}{a^3b^3} }{ \frac{b^2+1}{a^2b^2}}= \\\\ \frac{b^3-a^3}{a^3b^3}* \frac{a^2b^2}{b^2+1}= \frac{b^3-a^3}{ab(b^2+1)}= \frac{b^3-a^3}{ab^3+ab} [/latex]