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Question

Mathematics Question on Multiplying a Polynomial by a Polynomial

Carry out the multiplication of the expressions in each of the following pairs.
(i) 4p, q + r
(ii) ab, a – b
(iii) a + b, 7a²b²
(iv) a2 – 9, 4a
(v) pq + qr + rp, 0

Answer

(i) 4p(q + r)
= 4pq + 4pr


(ii) ab(a – b)
= a2 b – a b2


(iii)(a + b) (7a2b2)
= 7a3b2 + 7a2b3


(iv) (a2 – 9)(4a)
= 4a3 – 36a


(v) (pq + qr + rp) × 0 = 0