Question

Choose the common factor for $21pqr+7p^2{q}^2{r}^2+49p^{2}qr$ from the given options.

• A. $14p^{2}qr$
• B. $7pqr$
• C. $7p^2{q}^2{r}^2$
• D. $14p^2{q}^2{r}^2$

Answer 1

The correct option is B $7pqr$

$21pqr=3\times 7\times p\times q\times r7p^2{q}^2{r}^2=7\times p\times p\times q\times q\times r\times r49p^{2}qr=7\times 7\times p\times p\times q\times r21pqr+7p^2{q}^2{r}^2+49p^{2}qr=7pqr(3+pqr+7p)$