Ответ:

5х³-5000у³ = 5(х³ - 1000у³) = 5(х -10у) (х² + 10 ху + 100у²)

Verified answer

Решение

5х³-5000у³

5(x³-1000y³)

x³-10³y³

x³-(10y)³

(x-10y)×(x²+x×10y+(10y)²)

(x-10y)×(x²+10xy+(10y)²)

(x-10y)×(x²+10xy+100y²)

Ответ: (x-10y)×(x²+10xy+100y²)