Question

HCF of the term of the expression 4 P cube qsquare are - 12 PQ square r square + 16 p square q square r square is​

Answer 1

The HCF of the given expression $=4pq^{2}$

Step-by-step explanation:

We have,

$4p^{3}q^{2}-12pq^2r^{2}+16p^{2}q^{2}r^{2}$

To find, HCF of the given expression = ?

∴ $4p^{3}q^{2}-12pq^2r^{2}+16p^{2}q^{2}r^{2}$

Taking 4 as common,

$=4(p^{3}q^{2}-3pq^2r^{2}+4p^{2}q^{2}r^{2})$

Taking p as common,

$=4p(p^{2}q^{2}-3q^2r^{2}+4pq^{2}r^{2})$

Taking $q^{2}$ as common,

$=4pq^{2}(p^{2}-3r^{2}+4pr^{2})$

The highest common factor of the expression = $4pq^{2}$

Hence, the HCF of the given expression $=4pq^{2}$