Question

Find the factors of the following expressions:

(7) 12pm + 18qm + 6pn + 9nq

Answer 1

12pm + 18qm + 6pn + 9nq
We can factorise this expression as:
12pm + 18qm + 6pn + 9nq
= 3 (4pm + 6qm + 2pn + 3nq)
= 3 {(4pm + 6qm) + (2pn + 3nq)}
= 3 {2m (2p + 3q) + n (2p + 3q)}
= 3 (2p + 3q) (2m + n)