Question

Разложите многочлен на множители,пожалуйста:
64/343c^3+729/1000d^3

Answer 1

$frac{64}{343}c^3+frac{729}{1000}d^3=\(frac{4}{7}c)^3+(frac{9}{10}d)^3=\(frac{4}{7}c+frac{9}{10}d)((frac{4}{7}c)^2-frac{4}{7}c*frac{9}{10}d+(frac{9}{10}d)^2)=\(frac{4}{7}c+frac{9}{10}d)(frac{16}{49}c^2-frac{2}{7}c*frac{9}{5}d+frac{81}{100}d^2)=\(frac{4}{7}c+frac{9}{10}d)(frac{16}{49}c^2-frac{18}{35}cd+frac{81}{100}d^2)$