Simplify the expressions and evaluate them as directed:
(i) x(x – 3) + 2 for x = 1 (ii) 3y(2y – 7) – 3(y – 4) – 63 for y = –2.
(2pq + 3q2) and (3pq - 2q2 )
(2pq + 3q2) x (3pq - 2q2)
= 2pq(3pq - 2q2) + 3q2 (3pq - 2q2)
= (2pq x 3pq) - (2pq x 2q2 ) + (3q2 x 3pq) - (3q2 x 2q2 )
= 6p2q2 - 4pq3 + 9pq3 - 6q4
= 6p2q2 +(- 4+ 9)pq3 - 6q4
= 6p2q2 + 5pq3 + 9pq3 - 6q4