question_answer

Subtract the sum of A and B from C

Where   \[A=\frac{3}{7}{{p}^{2}}{{q}^{2}}r-\frac{4}{5}pq{{r}^{2}}+\frac{3}{2}pqr+\frac{1}{21}{{p}^{2}}qr\]

\[B=\frac{1}{14}pq{{r}^{2}}+\frac{2}{7}{{p}^{2}}qr-\frac{3}{5}{{p}^{2}}{{q}^{2}}r+pqr\]

And \[c=\frac{3}{10}pqr-\frac{4}{7}r{{p}^{2}}q+\frac{2}{7}pq{{r}^{2}}-\frac{4}{5}{{p}^{2}}r{{q}^{2}}\]

A) \[\frac{1}{105}[-66{{p}^{2}}{{q}^{2}}r+112pq{{r}^{2}}+162pqr+170{{p}^{2}}qr]\]

B) \[\frac{1}{210}[-132{{p}^{2}}{{q}^{2}}r+213pq{{r}^{2}}-462pqr-190{{p}^{2}}qr]\]

C) \[\frac{1}{210}[-232{{p}^{2}}{{q}^{2}}r+203pq{{r}^{2}}+362pqr+170{{p}^{2}}qr]\]

D) \[\frac{1}{105}[-166{{p}^{2}}{{q}^{2}}r-112pq{{r}^{2}}+462pqr-171{{p}^{2}}qr]\]

E) None of these