Question

Ex 13 urgent va rog

Answer 1

$\small \: a) x {}^{8} - 1 = (x {}^{4} ) {}^{2} - 1 {}^{2} = (x {}^{4} - 1)(x {}^{4} + 1) \\ \small b) x {}^{16} - 1 = (x {}^{8} ) {}^{2} - 1 {}^{2} = (x {}^{8} - 1)(x {}^{8} + 1) \\\small c)x {}^{64} - 1 = ({x}^{32} ) {}^{2} - 1 {}^{2} = (x {}^{32} - 1)(x {}^{32} + 1) \\\small d) {x}^{256} - 1 = (x {}^{128} ) {}^{2} - 1 {}^{2} = (x {}^{128} - 1)( {x}^{128} + 1) \\\small e) {x}^{1024} - 1 = (x {}^{512} ) {}^{2} - 1 {}^{2} = (x {}^{512} - 1)(x {}^{512} + 1)$