Question

Помогите пожалуйста, даю 20 баллов
Разложите на множители:

Answer 1

$1)\;\;\frac{361}{400}m^2-n^{10} = \frac{19}{20}^2m^2-(n^5)^2 = \\ \\ = (\frac{19}{20}m)^2 - (n^5)^2 = (\frac{19}{20}m - n^5)(\frac{19}{20}m + n^5)\\\\2)\;\; c^6-\frac{289}{324}d^4 = (c^3)^2 - (\frac{17}{18})^2(d^2)^2 = (c^3)^2 - (\frac{17}{18}d^2)^2 =\\ \\ = (c^3-\frac{17}{18}d^2)(c^3+\frac{17}{18}d^2)\\ \\ 3) 5.76x^{12}-\frac{4}{81}y^8 = 2.4^2(x^6)^2-(\frac{2}{9})^2(y^4)^2 = (2.4x^6)^2-(\frac{2}{9}y^4)^2 =\\ \\ =(2.4x^6-\frac{2}{9}y^4)(2.4x^6+\frac{2}{9}y^4)$