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

4p × (q + r)

⇒ 4p × q + 4p × r

4pq + 4pr

(ii) ab, a – b

ab × (a – b)

⇒ (ab × a) – (ab × b)

⇒ a2b – ab2

(iii) a + b, 7a²b²

(a + b) × (7a2b2)

⇒ (a × 7a2b2) + (b × 7a2b2)

⇒ 7a3b2 + 7a2b3

(iv) a2 -9, 4a

⇒ (a2 – 9) × (4a)

⇒ (a2 × 4a) – (9 × 4a)

= 4a3 – 36a

(v) pq + qr + rp, 0

(pq + qr + rp) × 0

⇒ (pq × 0) + (qr × 0) + (rp × 0)

Anything multiplied by zero is zero

⇒ 0 + 0 + 0

= 0

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