Question

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

Answer 1

$frac{a^{-3}-b^{-3}}{a^{-2}+a^{-2}*b^{-2}}}= frac{ frac{1}{a^3}- frac{1}{b^3} }{ frac{1}{a^2}+ frac{1}{a^2b^2}}= frac{ frac{b^3-a^3}{a^3b^3} }{ frac{b^2+1}{a^2b^2}}= \\ frac{b^3-a^3}{a^3b^3}* frac{a^2b^2}{b^2+1}= frac{b^3-a^3}{ab(b^2+1)}= frac{b^3-a^3}{ab^3+ab}$