Question

(i) For any positive integer n, prove that n^3 - n is divisible by 6.​

(ii) Use euclid's division to find the HCF of 726 and 275 and Express it in the form of 726m + 275m

Answer 1

II) 725=275*2+175

275= 175*1+100

175=100*1+75

100=75*1+25

75=25*3 +0

25 = 100-75

= 100*2-175

= 275*2-175*3

= 275*2-725*3+275*6

therefore

= 275(8)-725(3) is the answer