Consider the expression $- 4 a^{2} b^{3} c^{2} - 20 a b + 9$ , in the term $- 4 a^{2} b^{3} c^{2}$ , write the coefficient of $4 a b c$

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Solution

We have an algebraic expression $- 4 a^{2} b^{3} c^{2} - 20 a b + 9$
We have to find the coefficient of $4 a b c$ in the term $- 4 a^{2} b^{3} c^{2}$
Any factor of a term of an algebraic expression is called the coefficient of the remaining factor of the term.
Here, $- 4 a^{2} b^{3} c^{2} = 4 a b c (- a b^{2} c)$
Thus, the coefficient of $4 a b c$ in the term $- 4 a^{2} b^{3} c^{2}$ is $- a b^{2} c$
Hence, the required coefficient is $- a b^{2} c$

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