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

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12p4

12p

12p+4

answer is B.

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Detailed Solution

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

(x^a× x^b) = 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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