Quandaries
and Queries 

Question:


Hi Charanpal, Suppose that the problem was numeric rather than algebraic. For example find the HCF and LCM of 15 and 21. The first step would be to factor these integers to get
The HCF is then 3 and the LCM is 3 5 7 = 105. The requested check is
Now try your problem 1 above. Factoring gives
Can you complete the problem? Penny 

