Q.

Find the product of the following pair of monomials: 4p3, 3p.

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a

12p4

b

p4 

c

12p

d

12p+4

answer is B.

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Detailed Solution

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The given monomials are 4p3,3p. 

The multiplication happens separately for constants and variables as shown below:
 

=(4p3) × (3p) = (4 × 3) × (p3 × p).
 

We know the multiplication of variables with indices works for the same base with the formula of 

(xa × xb) = x a+b.
 

We take the constants’ multiplication first and get (4×3)=12 and the multiplication of the variables gives us 

(p3×p) = (p3 × p1) = p4.
 

So, the multiplication value is (4p3) × (3p) = 12p4

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