Carry out the multiplication of the expressions in each of the following pairs. (i) `4p,q+r` (ii) `ab,a-b` (iii) `a+b, 7a^2 b^2` (iv) `a^2-9, 4a` (v) `pq+qr+rp,0`

Explanation

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

`(ii) (ab) × (a - b) = (ab × a) + [ab × (- b)] = a^2b - ab^2`


`(iii) (a + b) × (7a^2 b^2 ) = (a × 7a^2b^2 ) + (b × 7a^2b^2 ) = 7a^3b^2 + 7a^2b^3`


`(iv) (a^2 - 9) × (4a) = (a^2 × 4a) + [(- 9) × (4a)] = 4a^3 - 36a`


`(v) ( pq + qr + rp) × 0 = ( pq × 0) + (qr × 0) + (rp × 0) = 0`