Question

16/x-y +24/x+y= 6 ; 36/x-y + 48/x+y =13
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Answer 1

Given:-

$(y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } )$

TO FIND:-

product using suitable identity

SOLUTION:-

use property:-

$( {a}^{3} - {b}^{3} ) = (a - b)( {a}^{2} + ab + {b}^{2} )$

here, a=x and b = $\frac{6}{y}$

$\therefore (y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } ) = {y}^{3} - { (\frac{6}{y}) }^{3}$

hence, product of

$\boxed{(y - \frac{6}{y} )( {y}^{2} + 6 + \frac{36}{ {y}^{2} } ) = {y}^{3} - ( \frac{6}{y} {)}^{3} }$

Answer 2

Step-by-step explanation:

give step by step answer