Short Answer TypeCarry out the multiplication of the expressions in each of the following pairs
4p, q + r
Carry out the multiplication of the expressions in each of the following pairs
ab, a - b
Carry out the multiplication of the expressions in each of the following pairs
a + b, 7a2b2
Carry out the multiplication of the expressions in each of the following pairs
a2 - 9, 4a
Carry out the multiplication of the expressions in each of the following pairs
pq + qr + rp, 0
Complete table.
| First expression | Second expression | Product | |
| (i) (ii) (iii) (iv) (v) |
a x + y - 5 p 4p2q2 a + b + c |
a + c + d 5xy 6p2 - 7p + 5 p2 - q2 abc |
.... .... .... .... .... |
We have :
(i) a x ( b + c + d) = a x b + a x c + a x d
= ab + ac + ad
(ii) (x + y - 5) x 5xy = x x 5xy + y x 5xy + (-5) x 5xy
= 5x2y + 5xy2 - 25xy
(iii) p x (6p2 - 7p + 5) = p x 6p2 + p x (-7p) + p x 5
= 6p3 - 7p2 + 5p
(iv) 4p2q2 x (p2 - q2) = 4p2q2 x p2 + 4p2q2 x (- q2)
= ( 4 x 1) x p2q2 x 2p2 + [4 x (-1)] x p2q2 x q2
= 4p4q2 - 4p2q4
(v) ( a+ b + c) x abc = a x abc + b x abc + c x abc
= (1 x1) x a x abc + (1 x1) x b x abx + (1 x 1) x c x abc
= (1) x a2bc + (1) x ab2c + (1) x abc2
= a2bc + ab2c + abc2
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