Question

If p = −2, q = −1 and r = 3, find the value of 3p²q + 5pq² + 2pqr

Answer 1

3p²q + 5pq² + 2pqr

Substituting p = -2, q = -1 and r = 3 in the given expression:

$$3\times (-2{)}^2\times (-1)+5\times (-2)\times (-1{)}^2+2\times (-2\times -1\times 3)$$
$$=3\times (-2\times -2)\times (-1)+5\times (-2)\times (-1\times -1)+2\times (-2\times -1\times 3)$$
$$=-12-10+12$$
$$=-10$$