Разложите на множители \({-\frac{1}{128} + x^7.}\) \({\left(x -\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)}\) \({\left(x +\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)}\) \(\left(x^2 -\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)\) \(\left(x -\frac{1}{2}\right)\!\left(x^5+ \frac{1}{2}x^4 +\frac{1}{4}x^3 + \frac{1}{8}x^2 + \frac{1}{16}x + \frac{1}{64}\right)\)

Задание

Разложите на множители
\({-\frac{1}{128} + x^7.}\)

\({\left(x -\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)}\)
\({\left(x +\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)}\)
\(\left(x^2 -\frac{1}{2}\right)\!\left(x^6+ \frac{1}{2}x^5 +\frac{1}{4}x^4 + \frac{1}{8}x^3 + \frac{1}{16}x^2 + \frac{1}{32}x + \frac{1}{64}\right)\)
\(\left(x -\frac{1}{2}\right)\!\left(x^5+ \frac{1}{2}x^4 +\frac{1}{4}x^3 + \frac{1}{8}x^2 + \frac{1}{16}x + \frac{1}{64}\right)\)