Question

Разложите на множители многочлены(15.11)

Answer 1

1) $(\frac{2}{3}xy - 1)xy - (1 -  \frac{2}{3}xy) = (\frac{2}{3}xy - 1)xy - (-1(\frac{2}{3}xy - 1) =\\(\frac{2}{3}xy - 1)xy + (\frac{2}{3}xy - 1) = (\frac{2}{3}xy - 1)(xy + 1)$

2)$(\frac{4}{9}x - y) \frac{4}{9} - y(y -  \frac{4}{9}x) = (\frac{4}{9}x - y) \frac{4}{9} + y(\frac{4}{9}x - y) = (\frac{4}{9}x - y)(\frac{4}{9} + y)$