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Carry out the multiplication of the expr...

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`

Text Solution

Verified by Experts

`(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`
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