State whether the given statement is true or false:

The coefficient of the product of two monomials is not equal to the product of their coefficient.

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- Let 3a and 5b be the two monomials.
Product of these two monomials =

The coefficients of two monomials are 3 and 5 respectively.
Product of these two coefficients =

Monomials are those which have only one term.
We assume that 3a and 5b be the two monomials with coefficient 3 and 5 respectively.
First, we must find the product of these two monomials which is 15ab and the product of coefficients is 15.
According to the question it is stated that “coefficient of the product of two monomials is not equal to the product of their coefficient”.
But if we see they both are equal.
Hence, the correct answer is option 2) false.

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