Mathematics Polynomials

Question

1. (a) Express the following as the product of prime factors.
(i) 3^6 - 1
(ii) 4^6 - 1
5該講下點計,列埋步驟,thx!!

Answer 1

divide those number by the prime numbers
(i)3^6-1=728
728/2/2/2=91
91/7=13
the answer will be the product of those prime numbers you use
Thererore, 728= 2^3 * 7 * 13

(ii)4^6-1=4095
4095/3/3=455,455/5=91,91/7=13
4095=3^2 * 5 * 7 *13