Question

Find the HCF for the expression: 6pq- 24p^2

My teacher does not explain that well so im very confused. :-:

Answer 1

6p.

Explanation:

HCF = Highest Common Factor

Deal with numbers and variables separately:

The HCF of 6 and 24 is 6 (because 6 divides exactly into 24 and is the highest factor which divides into 6 and 24).

The HCF of pq and p^2 is p, because p is the highest factor that divides pq and p^2.

So the answer is 6p.