Question

Find the LCM and HCF.
(a) p3 + 8 and p2 - 4​

Answer 1

In bold below.

Explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM = (p + 2)(p - 2)(p^2 + 4 - 2p)