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Carry out the multiplication of expressions in each of the fol

Question

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

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Carry out the multiplication of expressions in each of the following pairs.
(i)

4 p, q + r

(ii)

ab, a - b

(iii)

a + b, 7 a^{2} b^{2}

(iv)

(a^{2} - 9) \times (4 a)

(v)

pq + q r + r p, 0

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Text solutionVerified

(i)

(4 p) \times (q + r)

= (4 p \times q) + (4 p \times r)

= 4 pq + 4 p r

(ii)

ab \times (a - b)

= (ab \times a) + (ab \times (- b))

= a^{2} b^{2} - a b^{2}

(iii)

(a + b) \times (7 a^{2} b^{2})

= (a \times 7 a^{2} b^{2}) + (b \times 7 a^{2} b^{2})

= 7 a^{3} b^{2} + 7 a^{2} b^{3}

(iv)

(a^{2} \times 4 a) + (- 9 \times 4 a)

= 4 a^{3} - 36 a

(v)

(pq \times 0) + (q r \times 0) + (r p \times 0)

= 0 + 0 + 0

= 0

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Question Text	Carry out the multiplication of expressions in each of the following pairs. (i) $4 p, q + r$ (ii) $ab, a - b$ (iii) $a + b, 7 a^{2} b^{2}$ (iv) $(a^{2} - 9) \times (4 a)$ (v) $pq + q r + r p, 0$
Answer Type	Text solution:1
Upvotes	150