Question

Factorise completely 8p-12pq​

Answer 1

4p(2-3q)

Explanation:

Factor out 4 first:

8p-12pq​

4(2p-3pq) Next, factor out p like you would any other number.

4p(2-3q)

Answer 2

4p (2-3q)

Explanation:

Break each term into its prime factors

8p = 4*2p = 2*2*2p

12pq = 4*3pq = 2*2*3*p*q

The common factors are 2*2*p

That is the greatest common factor. Take that outside the parentheses. Leave what is left inside the parentheses

2*2*p( 2-3q)

4p (2-3q)