Разложите на множители 1) am^3-an^3 2) 2m^3-16 3) n^4-16 4) a^4-9a^2 5) x^4-x^8 6) a^9-1

1) am^3 - an^3 = a * (m^3 - n^3) = a * (m - n) * (m^2 + mn + n^2);

2) 2m^3 - 16 = 2 * (m^3 - 8) = 2 * (m - 2) * (m^2 + 2m + 4);

3) n^4 - 16 = (n^2 - 4) * (n^2 + 4) = (n - 2) * (n + 2) * (n^2 + 4);

4) a^4 - 9a^2 = a^2 * (a^2 - 9) = a^2 * (a - 3) * (a + 3);

5) x^4 - x^8 = x^4 * (1 - x^4) = x^4 * (1 - x^2) * (1 + x^2) = x^4 * (1 - x) * (1 + x) * (1 + x^2);

6) a^9 - 1 = (a^3 - 1) * (a^6 + a^3 + 1).