Question

What is the highest common factor (HCF) of the expressions pq^2 + p^2q and p^3 - pq^3?

a) p
b) q
c) pq
d) 1

Answer 1

The highest common factor (HCF) of the expressions pq^2 + p^2q and p^3 - pq^3 is p, which can be found by factoring out the common terms from each expression.

Step-by-step explanation:

To find the highest common factor (HCF) of the expressions pq2 + p2q and p3 - pq3, we can factor out the common terms from each expression.

First expression: pq2 + p2q = p(q2 + pq)

Second expression: p3 - pq3 = p(p2 - q2) = p(p + q)(p - q)

The common factor in both expressions is p. Hence, the HCF is p.