Question

Please answer this eqaution ​

Answer 1

Answer:

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Step-by-step explanation:

2. By which smallest number should 42592 be divided so that the quotient is a perfect cube?

Answer 2

Answer :-

Given equation -

$- 2 {a}^{2} bc - \frac{1}{2} a {b}^{2} c + \frac{1}{3}a b {c}^{2} + \frac{1}{2} {a}^{2} bc \: - \frac{1}{3} a {b}^{2} c \: + \frac{1}{2} a b {c}^{2}$

Now by grouping them together ,

This equation can be written as follows -

$= \: - 2 {a}^{2} bc \: + \frac{1}{2} {a}^{2} bc \: - \frac{1}{2} a {b}^{2} c \: - \frac{1}{3} a {b}^{2} c + \frac{1}{3} ab {c}^{2} + \frac{1}{2} ab {c}^{2}$

$= \: ( - 2 {a}^{2} bc \: + \frac{1}{2} {a}^{2} bc ) \: - (\frac{1}{2} a {b}^{2} c \: - \frac{1}{3} a {b}^{2} c) + ( \frac{1}{3} ab {c}^{2} + \frac{1}{2} ab {c}^{2} )$

$= - \: \frac{3}{2} {a}^{2} bc \: - \frac{5}{6} a {b}^{2} c \: + \frac{5}{6} ab {c}^{2}$

Now take - 1/2 abc common

Then ,

$= - \frac{1}{2} abc \: (3a \: + \frac{5}{3} b \: - \frac{5}{3} c)$

So , the required equation is -

$= - \frac{1}{2} abc \: (3a \: + \frac{5}{3} b \: - \frac{5}{3} c)$