6.64. $\frac{25}{81}a^2+\frac{5}{6}ac+\frac{9}{16}c^2$

Question

Вопрос: $Фото задания: 6.64. $\frac{25}{81}a^2+\frac{5}{6}ac+\frac{9}{16}c^2$$ Фото задания

Accepted Answer

$\frac{25}{81}a^2+\frac{5}{6}ac+\frac{9}{16}c^2=\left(\frac{5a}{9}\right)^2+2\cdot\frac{5a}{9}\cdot\frac{3c}{4}+\left(\frac{3c}{4}\right)^2$.

Ответ: $\left(\frac{5a}{9}+\frac{3c}{4}\right)^2$

6.64. \(\frac{25}{81}a^2+\frac{5}{6}ac+\frac{9}{16}c^2\)