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1.Find the product of the following pairs of monomials :
(i) 4, 7p

(ii) -4p, 7p

(iii) – 4p, 7pq

(iv) 4p3 , – 3p

(v) 4p, 0

Answer :

(i)Multiplying the given expressions: \( 4 x\times 7p = (4 \times 7) \times p = 28p\)

(ii) Multiplying the given expressions:\(– 4 p \times 7p = (- 4 \times 7) \times (p\times p)\)

\(= -28p^{(1 + 1)} = – 28p^2\)

(iii)Multiplying the given expressions: \(-4p\times 7pq = (- 4 \times 7) \times (p \times p \times q)\)

\(= -28 p^{(1+1)}q = – 28p^2q\)

(iv)Multiplying the given expressions: \(4p3 \times – 3p = (4 \times – 3) \times (p^3 \times p)\)

\(= – 12p^{(3+1)} = =-12p^4\)

(v) Multiplying the given expressions:\(4p \times 0 = (4 \times 0) \times p = 0 \times p = 0\)