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Question:

Carry out the multiplication of expressions in each of the following pairs: (i) 4p, q+r (ii) ab, a-b (iii) a+b, 7a²b² (iv) (a²-b) × (4a) (v) pq+qr+rp, 0

Solution:

(i)(4p)×(q+r)=(4p×q)+(4p×r)=4pq+4pr
(ii)ab×(a-b)=(ab×a)+(ab×(-b))=a²b-ab²
(iii)(a+b)×(7a²b²)=(a×7a²b²)+(b×7a²b²)=7a³b²+7a²b³
(iv)(a²×4a)+(-b×4a)=4a³-4ab
(v)(pq×0)+(qr×0)+(rp×0)=0+0+0=0