Find the following products:
$ \frac{-4}{27} x y z\left[\frac{9}{2} x^{2} y z-\frac{3}{4} x y z^{2}\right] $

Given:

\( \frac{-4}{27} x y z\left[\frac{9}{2} x^{2} y z-\frac{3}{4} x y z^{2}\right] \)

To do:

We have to find the given product.

Solution:

$\frac{-4}{27} x y z[\frac{9}{2} x^{2} y z-\frac{3}{4} x y z^{2}] =(\frac{-4}{27} x y z \times \frac{9}{2} x^{2} y z)+(\frac{-4}{27} x y z \times \frac{-3}{4} x y z^{2})$

$=\frac{-2}{3} x^{1+2} \times y^{1+1} \times z^{1+1}+\frac{1}{9} x^{1+1} \times y^{1+1} \times z^{1+2}$

$=\frac{-2}{3} x^{3} y^{2} z^{2}+\frac{1}{9} x^{2} y^{2} z^{3}$

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Updated on: 10-Oct-2022

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