Find the following products:
$ \left(\frac{-7}{4} a b^{2} c-\frac{6}{25} a^{2} c^{2}\right)\left(-50 a^{2} b^{2} c^{2}\right) $

Given:

\( \left(\frac{-7}{4} a b^{2} c-\frac{6}{25} a^{2} c^{2}\right)\left(-50 a^{2} b^{2} c^{2}\right) \)

To do:

We have to find the given product.

Solution:

$(\frac{-7}{4} a b^{2} c-\frac{6}{25} a^{2} c^{2})(-50 a^{2} b^{2} c^{2})=(-50 a^{2} b^{2} c^{2}) \times(\frac{-7}{4} a b^{2} c)+[(-50 a^{2} b^{2} c^{2}) \times (\frac{-6}{25} a^{2} c^{2})]$

$=\frac{175}{2} a^{2+1} b^{2+2} c^{2+1}+12 a^{2+2} b^{2} c^{2+2}$

$=\frac{175}{2} a^{3} b^{4} c^{3}+12 a^{4} b^{2} c^{4}$

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Updated on: 10-Oct-2022

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